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Finding the Fourth Proportional to 3,705.92, 5,555.04 and 2,552

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Solution

The fourth proportional to 3,705.92, 5,555.04 and 2,552 is: 3,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.92 : 5,555.04 = 2,552 : x
  2. Step 2: Convert to fraction form
    3,705.92/5,555.04 = 2,552/x
  3. Step 3: Cross multiply
    3,705.92x = 5,555.04 × 2,552
  4. Step 4: Simplify right side
    3,705.92x = 14,176,462.08
  5. Step 5: Solve for x
    x = 14,176,462.08/3,705.92
  6. Step 6: Final answer
    x = 3,825.36

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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.