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Finding the Fourth Proportional to 5,002.84, 6,891.78 and 3,507.85

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Solution

The fourth proportional to 5,002.84, 6,891.78 and 3,507.85 is: 4,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.84 : 6,891.78 = 3,507.85 : x
  2. Step 2: Convert to fraction form
    5,002.84/6,891.78 = 3,507.85/x
  3. Step 3: Cross multiply
    5,002.84x = 6,891.78 × 3,507.85
  4. Step 4: Simplify right side
    5,002.84x = 24,175,330.47
  5. Step 5: Solve for x
    x = 24,175,330.47/5,002.84
  6. Step 6: Final answer
    x = 4,832.32

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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.