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Finding the Fourth Proportional to 5,469.61, 7,548.04 and 2,985.61

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Solution

The fourth proportional to 5,469.61, 7,548.04 and 2,985.61 is: 4,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.61 : 7,548.04 = 2,985.61 : x
  2. Step 2: Convert to fraction form
    5,469.61/7,548.04 = 2,985.61/x
  3. Step 3: Cross multiply
    5,469.61x = 7,548.04 × 2,985.61
  4. Step 4: Simplify right side
    5,469.61x = 22,535,503.70
  5. Step 5: Solve for x
    x = 22,535,503.70/5,469.61
  6. Step 6: Final answer
    x = 4,120.13

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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.