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Finding the Fourth Proportional to 4,000.32, 5,519.88 and 2,428.38

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Solution

The fourth proportional to 4,000.32, 5,519.88 and 2,428.38 is: 3,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.32 : 5,519.88 = 2,428.38 : x
  2. Step 2: Convert to fraction form
    4,000.32/5,519.88 = 2,428.38/x
  3. Step 3: Cross multiply
    4,000.32x = 5,519.88 × 2,428.38
  4. Step 4: Simplify right side
    4,000.32x = 13,404,366.19
  5. Step 5: Solve for x
    x = 13,404,366.19/4,000.32
  6. Step 6: Final answer
    x = 3,350.82

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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.