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Finding the Fourth Proportional to 3,443.20, 4,751.52 and 1,871.28

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Solution

The fourth proportional to 3,443.20, 4,751.52 and 1,871.28 is: 2,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.20 : 4,751.52 = 1,871.28 : x
  2. Step 2: Convert to fraction form
    3,443.20/4,751.52 = 1,871.28/x
  3. Step 3: Cross multiply
    3,443.20x = 4,751.52 × 1,871.28
  4. Step 4: Simplify right side
    3,443.20x = 8,891,424.35
  5. Step 5: Solve for x
    x = 8,891,424.35/3,443.20
  6. Step 6: Final answer
    x = 2,582.31

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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.