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Finding the Fourth Proportional to 5,154.47, 7,731.32 and 1,644.33

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Solution

The fourth proportional to 5,154.47, 7,731.32 and 1,644.33 is: 2,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.47 : 7,731.32 = 1,644.33 : x
  2. Step 2: Convert to fraction form
    5,154.47/7,731.32 = 1,644.33/x
  3. Step 3: Cross multiply
    5,154.47x = 7,731.32 × 1,644.33
  4. Step 4: Simplify right side
    5,154.47x = 12,712,862.19
  5. Step 5: Solve for x
    x = 12,712,862.19/5,154.47
  6. Step 6: Final answer
    x = 2,466.38

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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.