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Finding the Fourth Proportional to 5,248.41, 7,874.43 and 2,328.76

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Solution

The fourth proportional to 5,248.41, 7,874.43 and 2,328.76 is: 3,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.41 : 7,874.43 = 2,328.76 : x
  2. Step 2: Convert to fraction form
    5,248.41/7,874.43 = 2,328.76/x
  3. Step 3: Cross multiply
    5,248.41x = 7,874.43 × 2,328.76
  4. Step 4: Simplify right side
    5,248.41x = 18,337,657.61
  5. Step 5: Solve for x
    x = 18,337,657.61/5,248.41
  6. Step 6: Final answer
    x = 3,493.95

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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.