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Finding the Fourth Proportional to 3,287.32, 4,535.66 and 3,143.79

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Solution

The fourth proportional to 3,287.32, 4,535.66 and 3,143.79 is: 4,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.32 : 4,535.66 = 3,143.79 : x
  2. Step 2: Convert to fraction form
    3,287.32/4,535.66 = 3,143.79/x
  3. Step 3: Cross multiply
    3,287.32x = 4,535.66 × 3,143.79
  4. Step 4: Simplify right side
    3,287.32x = 14,259,170.41
  5. Step 5: Solve for x
    x = 14,259,170.41/3,287.32
  6. Step 6: Final answer
    x = 4,337.63

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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.