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Finding the Fourth Proportional to 3,737.84, 5,154.72 and 2,953.76

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Solution

The fourth proportional to 3,737.84, 5,154.72 and 2,953.76 is: 4,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.84 : 5,154.72 = 2,953.76 : x
  2. Step 2: Convert to fraction form
    3,737.84/5,154.72 = 2,953.76/x
  3. Step 3: Cross multiply
    3,737.84x = 5,154.72 × 2,953.76
  4. Step 4: Simplify right side
    3,737.84x = 15,225,805.75
  5. Step 5: Solve for x
    x = 15,225,805.75/3,737.84
  6. Step 6: Final answer
    x = 4,073.42

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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.