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Finding the Fourth Proportional to 4,470.48, 6,169.44 and 2,582

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Solution

The fourth proportional to 4,470.48, 6,169.44 and 2,582 is: 3,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.48 : 6,169.44 = 2,582 : x
  2. Step 2: Convert to fraction form
    4,470.48/6,169.44 = 2,582/x
  3. Step 3: Cross multiply
    4,470.48x = 6,169.44 × 2,582
  4. Step 4: Simplify right side
    4,470.48x = 15,929,494.08
  5. Step 5: Solve for x
    x = 15,929,494.08/4,470.48
  6. Step 6: Final answer
    x = 3,563.26

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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.