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Finding the Fourth Proportional to 4,589.72, 6,366.31 and 4,432.37

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Solution

The fourth proportional to 4,589.72, 6,366.31 and 4,432.37 is: 6,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.72 : 6,366.31 = 4,432.37 : x
  2. Step 2: Convert to fraction form
    4,589.72/6,366.31 = 4,432.37/x
  3. Step 3: Cross multiply
    4,589.72x = 6,366.31 × 4,432.37
  4. Step 4: Simplify right side
    4,589.72x = 28,217,819.29
  5. Step 5: Solve for x
    x = 28,217,819.29/4,589.72
  6. Step 6: Final answer
    x = 6,148.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.