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Finding the Fourth Proportional to 4,352, 6,005.76 and 2,489.04

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Solution

The fourth proportional to 4,352, 6,005.76 and 2,489.04 is: 3,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352 : 6,005.76 = 2,489.04 : x
  2. Step 2: Convert to fraction form
    4,352/6,005.76 = 2,489.04/x
  3. Step 3: Cross multiply
    4,352x = 6,005.76 × 2,489.04
  4. Step 4: Simplify right side
    4,352x = 14,948,576.87
  5. Step 5: Solve for x
    x = 14,948,576.87/4,352
  6. Step 6: Final answer
    x = 3,434.88

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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.