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Finding the Fourth Proportional to 5,098.64, 7,635.60 and 2,593.24

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Solution

The fourth proportional to 5,098.64, 7,635.60 and 2,593.24 is: 3,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.64 : 7,635.60 = 2,593.24 : x
  2. Step 2: Convert to fraction form
    5,098.64/7,635.60 = 2,593.24/x
  3. Step 3: Cross multiply
    5,098.64x = 7,635.60 × 2,593.24
  4. Step 4: Simplify right side
    5,098.64x = 19,800,943.34
  5. Step 5: Solve for x
    x = 19,800,943.34/5,098.64
  6. Step 6: Final answer
    x = 3,883.57

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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.