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Finding the Fourth Proportional to 4,767.38, 7,151.10 and 1,957.76

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Solution

The fourth proportional to 4,767.38, 7,151.10 and 1,957.76 is: 2,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.38 : 7,151.10 = 1,957.76 : x
  2. Step 2: Convert to fraction form
    4,767.38/7,151.10 = 1,957.76/x
  3. Step 3: Cross multiply
    4,767.38x = 7,151.10 × 1,957.76
  4. Step 4: Simplify right side
    4,767.38x = 14,000,101.78
  5. Step 5: Solve for x
    x = 14,000,101.78/4,767.38
  6. Step 6: Final answer
    x = 2,936.65

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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.