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Finding the Fourth Proportional to 3,610.59, 5,411.75 and 1,637.72

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Solution

The fourth proportional to 3,610.59, 5,411.75 and 1,637.72 is: 2,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.59 : 5,411.75 = 1,637.72 : x
  2. Step 2: Convert to fraction form
    3,610.59/5,411.75 = 1,637.72/x
  3. Step 3: Cross multiply
    3,610.59x = 5,411.75 × 1,637.72
  4. Step 4: Simplify right side
    3,610.59x = 8,862,895.96
  5. Step 5: Solve for x
    x = 8,862,895.96/3,610.59
  6. Step 6: Final answer
    x = 2,454.69

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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.