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Finding the Fourth Proportional to 6,146.88, 8,472.78 and 4,156.71

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Solution

The fourth proportional to 6,146.88, 8,472.78 and 4,156.71 is: 5,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.88 : 8,472.78 = 4,156.71 : x
  2. Step 2: Convert to fraction form
    6,146.88/8,472.78 = 4,156.71/x
  3. Step 3: Cross multiply
    6,146.88x = 8,472.78 × 4,156.71
  4. Step 4: Simplify right side
    6,146.88x = 35,218,889.35
  5. Step 5: Solve for x
    x = 35,218,889.35/6,146.88
  6. Step 6: Final answer
    x = 5,729.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.