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Finding the Fourth Proportional to 4,367.76, 6,546.12 and 2,414.04

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Solution

The fourth proportional to 4,367.76, 6,546.12 and 2,414.04 is: 3,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.76 : 6,546.12 = 2,414.04 : x
  2. Step 2: Convert to fraction form
    4,367.76/6,546.12 = 2,414.04/x
  3. Step 3: Cross multiply
    4,367.76x = 6,546.12 × 2,414.04
  4. Step 4: Simplify right side
    4,367.76x = 15,802,595.52
  5. Step 5: Solve for x
    x = 15,802,595.52/4,367.76
  6. Step 6: Final answer
    x = 3,618.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.