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Finding the Fourth Proportional to 4,306.50, 5,943.69 and 3,256.74

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Solution

The fourth proportional to 4,306.50, 5,943.69 and 3,256.74 is: 4,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.50 : 5,943.69 = 3,256.74 : x
  2. Step 2: Convert to fraction form
    4,306.50/5,943.69 = 3,256.74/x
  3. Step 3: Cross multiply
    4,306.50x = 5,943.69 × 3,256.74
  4. Step 4: Simplify right side
    4,306.50x = 19,357,052.97
  5. Step 5: Solve for x
    x = 19,357,052.97/4,306.50
  6. Step 6: Final answer
    x = 4,494.85

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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.