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Finding the Fourth Proportional to 3,657.58, 5,037.33 and 3,160.06

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Solution

The fourth proportional to 3,657.58, 5,037.33 and 3,160.06 is: 4,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.58 : 5,037.33 = 3,160.06 : x
  2. Step 2: Convert to fraction form
    3,657.58/5,037.33 = 3,160.06/x
  3. Step 3: Cross multiply
    3,657.58x = 5,037.33 × 3,160.06
  4. Step 4: Simplify right side
    3,657.58x = 15,918,265.04
  5. Step 5: Solve for x
    x = 15,918,265.04/3,657.58
  6. Step 6: Final answer
    x = 4,352.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.