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Finding the Fourth Proportional to 5,226,805.92, 7,828,778.16 and 3,705,878.64

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Solution

The fourth proportional to 5,226,805.92, 7,828,778.16 and 3,705,878.64 is: 5,550,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226,805.92 : 7,828,778.16 = 3,705,878.64 : x
  2. Step 2: Convert to fraction form
    5,226,805.92/7,828,778.16 = 3,705,878.64/x
  3. Step 3: Cross multiply
    5,226,805.92x = 7,828,778.16 × 3,705,878.64
  4. Step 4: Simplify right side
    5,226,805.92x = 29,012,501,760,442.50
  5. Step 5: Solve for x
    x = 29,012,501,760,442.50/5,226,805.92
  6. Step 6: Final answer
    x = 5,550,713.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.