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Finding the Fourth Proportional to 5,886.72, 8,123.28 and 3,234

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Solution

The fourth proportional to 5,886.72, 8,123.28 and 3,234 is: 4,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.72 : 8,123.28 = 3,234 : x
  2. Step 2: Convert to fraction form
    5,886.72/8,123.28 = 3,234/x
  3. Step 3: Cross multiply
    5,886.72x = 8,123.28 × 3,234
  4. Step 4: Simplify right side
    5,886.72x = 26,270,687.52
  5. Step 5: Solve for x
    x = 26,270,687.52/5,886.72
  6. Step 6: Final answer
    x = 4,462.70

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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.