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Finding the Fourth Proportional to 3,152.13, 4,721.87 and 1,902.01

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Solution

The fourth proportional to 3,152.13, 4,721.87 and 1,902.01 is: 2,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.13 : 4,721.87 = 1,902.01 : x
  2. Step 2: Convert to fraction form
    3,152.13/4,721.87 = 1,902.01/x
  3. Step 3: Cross multiply
    3,152.13x = 4,721.87 × 1,902.01
  4. Step 4: Simplify right side
    3,152.13x = 8,981,036.91
  5. Step 5: Solve for x
    x = 8,981,036.91/3,152.13
  6. Step 6: Final answer
    x = 2,849.20

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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.