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Finding the Fourth Proportional to 5,098.64, 7,644.29 and 2,503.40

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Solution

The fourth proportional to 5,098.64, 7,644.29 and 2,503.40 is: 3,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.64 : 7,644.29 = 2,503.40 : x
  2. Step 2: Convert to fraction form
    5,098.64/7,644.29 = 2,503.40/x
  3. Step 3: Cross multiply
    5,098.64x = 7,644.29 × 2,503.40
  4. Step 4: Simplify right side
    5,098.64x = 19,136,664.85
  5. Step 5: Solve for x
    x = 19,136,664.85/5,098.64
  6. Step 6: Final answer
    x = 3,753.29

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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.