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Finding the Fourth Proportional to 4,156.73, 5,737.03 and 2,478.24

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Solution

The fourth proportional to 4,156.73, 5,737.03 and 2,478.24 is: 3,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.73 : 5,737.03 = 2,478.24 : x
  2. Step 2: Convert to fraction form
    4,156.73/5,737.03 = 2,478.24/x
  3. Step 3: Cross multiply
    4,156.73x = 5,737.03 × 2,478.24
  4. Step 4: Simplify right side
    4,156.73x = 14,217,737.23
  5. Step 5: Solve for x
    x = 14,217,737.23/4,156.73
  6. Step 6: Final answer
    x = 3,420.41

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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.