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Finding the Fourth Proportional to 6,431.52, 8,870.49 and 4,306.38

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Solution

The fourth proportional to 6,431.52, 8,870.49 and 4,306.38 is: 5,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.52 : 8,870.49 = 4,306.38 : x
  2. Step 2: Convert to fraction form
    6,431.52/8,870.49 = 4,306.38/x
  3. Step 3: Cross multiply
    6,431.52x = 8,870.49 × 4,306.38
  4. Step 4: Simplify right side
    6,431.52x = 38,199,656.37
  5. Step 5: Solve for x
    x = 38,199,656.37/6,431.52
  6. Step 6: Final answer
    x = 5,939.44

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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.