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Finding the Fourth Proportional to 8,530.92, 12,801.24 and 2,985.46

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Solution

The fourth proportional to 8,530.92, 12,801.24 and 2,985.46 is: 4,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.92 : 12,801.24 = 2,985.46 : x
  2. Step 2: Convert to fraction form
    8,530.92/12,801.24 = 2,985.46/x
  3. Step 3: Cross multiply
    8,530.92x = 12,801.24 × 2,985.46
  4. Step 4: Simplify right side
    8,530.92x = 38,217,557.97
  5. Step 5: Solve for x
    x = 38,217,557.97/8,530.92
  6. Step 6: Final answer
    x = 4,479.89

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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.