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Finding the Fourth Proportional to 3,746.67, 5,615.29 and 1,772.29

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Solution

The fourth proportional to 3,746.67, 5,615.29 and 1,772.29 is: 2,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.67 : 5,615.29 = 1,772.29 : x
  2. Step 2: Convert to fraction form
    3,746.67/5,615.29 = 1,772.29/x
  3. Step 3: Cross multiply
    3,746.67x = 5,615.29 × 1,772.29
  4. Step 4: Simplify right side
    3,746.67x = 9,951,931.55
  5. Step 5: Solve for x
    x = 9,951,931.55/3,746.67
  6. Step 6: Final answer
    x = 2,656.21

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