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Finding the Fourth Proportional to 6,431.15, 8,869.97 and 4,306

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Solution

The fourth proportional to 6,431.15, 8,869.97 and 4,306 is: 5,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.15 : 8,869.97 = 4,306 : x
  2. Step 2: Convert to fraction form
    6,431.15/8,869.97 = 4,306/x
  3. Step 3: Cross multiply
    6,431.15x = 8,869.97 × 4,306
  4. Step 4: Simplify right side
    6,431.15x = 38,194,101.59
  5. Step 5: Solve for x
    x = 38,194,101.59/6,431.15
  6. Step 6: Final answer
    x = 5,938.93

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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.