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Finding the Fourth Proportional to 4,393.64, 6,591.51 and 1,432.07

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Solution

The fourth proportional to 4,393.64, 6,591.51 and 1,432.07 is: 2,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.64 : 6,591.51 = 1,432.07 : x
  2. Step 2: Convert to fraction form
    4,393.64/6,591.51 = 1,432.07/x
  3. Step 3: Cross multiply
    4,393.64x = 6,591.51 × 1,432.07
  4. Step 4: Simplify right side
    4,393.64x = 9,439,503.73
  5. Step 5: Solve for x
    x = 9,439,503.73/4,393.64
  6. Step 6: Final answer
    x = 2,148.45

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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.