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Finding the Fourth Proportional to 3,706.43, 5,562.54 and 1,627.86

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Solution

The fourth proportional to 3,706.43, 5,562.54 and 1,627.86 is: 2,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.43 : 5,562.54 = 1,627.86 : x
  2. Step 2: Convert to fraction form
    3,706.43/5,562.54 = 1,627.86/x
  3. Step 3: Cross multiply
    3,706.43x = 5,562.54 × 1,627.86
  4. Step 4: Simplify right side
    3,706.43x = 9,055,036.36
  5. Step 5: Solve for x
    x = 9,055,036.36/3,706.43
  6. Step 6: Final answer
    x = 2,443.06

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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.