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Finding the Fourth Proportional to 3,463.38, 4,782.87 and 2,898.18

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Solution

The fourth proportional to 3,463.38, 4,782.87 and 2,898.18 is: 4,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.38 : 4,782.87 = 2,898.18 : x
  2. Step 2: Convert to fraction form
    3,463.38/4,782.87 = 2,898.18/x
  3. Step 3: Cross multiply
    3,463.38x = 4,782.87 × 2,898.18
  4. Step 4: Simplify right side
    3,463.38x = 13,861,618.18
  5. Step 5: Solve for x
    x = 13,861,618.18/3,463.38
  6. Step 6: Final answer
    x = 4,002.34

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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.