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Finding the Fourth Proportional to 6,475.68, 8,939.52 and 4,390.80

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Solution

The fourth proportional to 6,475.68, 8,939.52 and 4,390.80 is: 6,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.68 : 8,939.52 = 4,390.80 : x
  2. Step 2: Convert to fraction form
    6,475.68/8,939.52 = 4,390.80/x
  3. Step 3: Cross multiply
    6,475.68x = 8,939.52 × 4,390.80
  4. Step 4: Simplify right side
    6,475.68x = 39,251,644.42
  5. Step 5: Solve for x
    x = 39,251,644.42/6,475.68
  6. Step 6: Final answer
    x = 6,061.39

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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.