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Finding the Fourth Proportional to 5,964.72, 8,947.17 and 1,582.80

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Solution

The fourth proportional to 5,964.72, 8,947.17 and 1,582.80 is: 2,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.72 : 8,947.17 = 1,582.80 : x
  2. Step 2: Convert to fraction form
    5,964.72/8,947.17 = 1,582.80/x
  3. Step 3: Cross multiply
    5,964.72x = 8,947.17 × 1,582.80
  4. Step 4: Simplify right side
    5,964.72x = 14,161,580.68
  5. Step 5: Solve for x
    x = 14,161,580.68/5,964.72
  6. Step 6: Final answer
    x = 2,374.22

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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.