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Finding the Fourth Proportional to 5,458.61, 7,524.92 and 4,340

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Solution

The fourth proportional to 5,458.61, 7,524.92 and 4,340 is: 5,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.61 : 7,524.92 = 4,340 : x
  2. Step 2: Convert to fraction form
    5,458.61/7,524.92 = 4,340/x
  3. Step 3: Cross multiply
    5,458.61x = 7,524.92 × 4,340
  4. Step 4: Simplify right side
    5,458.61x = 32,658,152.80
  5. Step 5: Solve for x
    x = 32,658,152.80/5,458.61
  6. Step 6: Final answer
    x = 5,982.87

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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.