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Finding the Fourth Proportional to 5,257.71, 7,255.98 and 3,019.68

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Solution

The fourth proportional to 5,257.71, 7,255.98 and 3,019.68 is: 4,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.71 : 7,255.98 = 3,019.68 : x
  2. Step 2: Convert to fraction form
    5,257.71/7,255.98 = 3,019.68/x
  3. Step 3: Cross multiply
    5,257.71x = 7,255.98 × 3,019.68
  4. Step 4: Simplify right side
    5,257.71x = 21,910,737.69
  5. Step 5: Solve for x
    x = 21,910,737.69/5,257.71
  6. Step 6: Final answer
    x = 4,167.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.