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Finding the Fourth Proportional to 5,347.57, 7,379.46 and 2,989.66

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Solution

The fourth proportional to 5,347.57, 7,379.46 and 2,989.66 is: 4,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.57 : 7,379.46 = 2,989.66 : x
  2. Step 2: Convert to fraction form
    5,347.57/7,379.46 = 2,989.66/x
  3. Step 3: Cross multiply
    5,347.57x = 7,379.46 × 2,989.66
  4. Step 4: Simplify right side
    5,347.57x = 22,062,076.38
  5. Step 5: Solve for x
    x = 22,062,076.38/5,347.57
  6. Step 6: Final answer
    x = 4,125.63

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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.