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Finding the Fourth Proportional to 4,321.32, 6,479.65 and 1,546.47

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Solution

The fourth proportional to 4,321.32, 6,479.65 and 1,546.47 is: 2,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.32 : 6,479.65 = 1,546.47 : x
  2. Step 2: Convert to fraction form
    4,321.32/6,479.65 = 1,546.47/x
  3. Step 3: Cross multiply
    4,321.32x = 6,479.65 × 1,546.47
  4. Step 4: Simplify right side
    4,321.32x = 10,020,584.34
  5. Step 5: Solve for x
    x = 10,020,584.34/4,321.32
  6. Step 6: Final answer
    x = 2,318.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.