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Finding the Fourth Proportional to 5,113.25, 7,665.01 and 3,259.16

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Solution

The fourth proportional to 5,113.25, 7,665.01 and 3,259.16 is: 4,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.25 : 7,665.01 = 3,259.16 : x
  2. Step 2: Convert to fraction form
    5,113.25/7,665.01 = 3,259.16/x
  3. Step 3: Cross multiply
    5,113.25x = 7,665.01 × 3,259.16
  4. Step 4: Simplify right side
    5,113.25x = 24,981,447.52
  5. Step 5: Solve for x
    x = 24,981,447.52/5,113.25
  6. Step 6: Final answer
    x = 4,885.63

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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.