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Finding the Fourth Proportional to 5,045.38, 6,952.78 and 3,787.84

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Solution

The fourth proportional to 5,045.38, 6,952.78 and 3,787.84 is: 5,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.38 : 6,952.78 = 3,787.84 : x
  2. Step 2: Convert to fraction form
    5,045.38/6,952.78 = 3,787.84/x
  3. Step 3: Cross multiply
    5,045.38x = 6,952.78 × 3,787.84
  4. Step 4: Simplify right side
    5,045.38x = 26,336,018.20
  5. Step 5: Solve for x
    x = 26,336,018.20/5,045.38
  6. Step 6: Final answer
    x = 5,219.83

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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.