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Finding the Fourth Proportional to 4,647.92, 6,414.18 and 2,552

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Solution

The fourth proportional to 4,647.92, 6,414.18 and 2,552 is: 3,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.92 : 6,414.18 = 2,552 : x
  2. Step 2: Convert to fraction form
    4,647.92/6,414.18 = 2,552/x
  3. Step 3: Cross multiply
    4,647.92x = 6,414.18 × 2,552
  4. Step 4: Simplify right side
    4,647.92x = 16,368,987.36
  5. Step 5: Solve for x
    x = 16,368,987.36/4,647.92
  6. Step 6: Final answer
    x = 3,521.79

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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.