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Finding the Fourth Proportional to 5,257.50, 7,255.46 and 3,397.74

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Solution

The fourth proportional to 5,257.50, 7,255.46 and 3,397.74 is: 4,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.50 : 7,255.46 = 3,397.74 : x
  2. Step 2: Convert to fraction form
    5,257.50/7,255.46 = 3,397.74/x
  3. Step 3: Cross multiply
    5,257.50x = 7,255.46 × 3,397.74
  4. Step 4: Simplify right side
    5,257.50x = 24,652,149.67
  5. Step 5: Solve for x
    x = 24,652,149.67/5,257.50
  6. Step 6: Final answer
    x = 4,688.95

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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.