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Finding the Fourth Proportional to 5,187.62, 7,778.80 and 3,705.92

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Solution

The fourth proportional to 5,187.62, 7,778.80 and 3,705.92 is: 5,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.62 : 7,778.80 = 3,705.92 : x
  2. Step 2: Convert to fraction form
    5,187.62/7,778.80 = 3,705.92/x
  3. Step 3: Cross multiply
    5,187.62x = 7,778.80 × 3,705.92
  4. Step 4: Simplify right side
    5,187.62x = 28,827,610.50
  5. Step 5: Solve for x
    x = 28,827,610.50/5,187.62
  6. Step 6: Final answer
    x = 5,557.00

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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.