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Finding the Fourth Proportional to 5,149.24, 7,686.18 and 4,423.48

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Solution

The fourth proportional to 5,149.24, 7,686.18 and 4,423.48 is: 6,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.24 : 7,686.18 = 4,423.48 : x
  2. Step 2: Convert to fraction form
    5,149.24/7,686.18 = 4,423.48/x
  3. Step 3: Cross multiply
    5,149.24x = 7,686.18 × 4,423.48
  4. Step 4: Simplify right side
    5,149.24x = 33,999,641.39
  5. Step 5: Solve for x
    x = 33,999,641.39/5,149.24
  6. Step 6: Final answer
    x = 6,602.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.