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Finding the Fourth Proportional to 3,307.92, 4,566.78 and 2,251.38

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Solution

The fourth proportional to 3,307.92, 4,566.78 and 2,251.38 is: 3,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.92 : 4,566.78 = 2,251.38 : x
  2. Step 2: Convert to fraction form
    3,307.92/4,566.78 = 2,251.38/x
  3. Step 3: Cross multiply
    3,307.92x = 4,566.78 × 2,251.38
  4. Step 4: Simplify right side
    3,307.92x = 10,281,557.16
  5. Step 5: Solve for x
    x = 10,281,557.16/3,307.92
  6. Step 6: Final answer
    x = 3,108.16

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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.