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Finding the Fourth Proportional to 5,644.17, 8,465.04 and 1,747.71

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Solution

The fourth proportional to 5,644.17, 8,465.04 and 1,747.71 is: 2,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.17 : 8,465.04 = 1,747.71 : x
  2. Step 2: Convert to fraction form
    5,644.17/8,465.04 = 1,747.71/x
  3. Step 3: Cross multiply
    5,644.17x = 8,465.04 × 1,747.71
  4. Step 4: Simplify right side
    5,644.17x = 14,794,435.06
  5. Step 5: Solve for x
    x = 14,794,435.06/5,644.17
  6. Step 6: Final answer
    x = 2,621.19

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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.