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Finding the Fourth Proportional to 3,098.32, 4,275.80 and 2,216.24

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Solution

The fourth proportional to 3,098.32, 4,275.80 and 2,216.24 is: 3,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.32 : 4,275.80 = 2,216.24 : x
  2. Step 2: Convert to fraction form
    3,098.32/4,275.80 = 2,216.24/x
  3. Step 3: Cross multiply
    3,098.32x = 4,275.80 × 2,216.24
  4. Step 4: Simplify right side
    3,098.32x = 9,476,198.99
  5. Step 5: Solve for x
    x = 9,476,198.99/3,098.32
  6. Step 6: Final answer
    x = 3,058.50

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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.