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Finding the Fourth Proportional to 3,737.92, 5,155.40 and 2,411.76

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Solution

The fourth proportional to 3,737.92, 5,155.40 and 2,411.76 is: 3,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.92 : 5,155.40 = 2,411.76 : x
  2. Step 2: Convert to fraction form
    3,737.92/5,155.40 = 2,411.76/x
  3. Step 3: Cross multiply
    3,737.92x = 5,155.40 × 2,411.76
  4. Step 4: Simplify right side
    3,737.92x = 12,433,587.50
  5. Step 5: Solve for x
    x = 12,433,587.50/3,737.92
  6. Step 6: Final answer
    x = 3,326.34

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Why These Related Problems?

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