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Finding the Fourth Proportional to 3,737.06, 5,604.38 and 1,981.04

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Solution

The fourth proportional to 3,737.06, 5,604.38 and 1,981.04 is: 2,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.06 : 5,604.38 = 1,981.04 : x
  2. Step 2: Convert to fraction form
    3,737.06/5,604.38 = 1,981.04/x
  3. Step 3: Cross multiply
    3,737.06x = 5,604.38 × 1,981.04
  4. Step 4: Simplify right side
    3,737.06x = 11,102,500.96
  5. Step 5: Solve for x
    x = 11,102,500.96/3,737.06
  6. Step 6: Final answer
    x = 2,970.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.