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Finding the Fourth Proportional to 3,488.82, 5,232.51 and 1,022.98

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Solution

The fourth proportional to 3,488.82, 5,232.51 and 1,022.98 is: 1,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.82 : 5,232.51 = 1,022.98 : x
  2. Step 2: Convert to fraction form
    3,488.82/5,232.51 = 1,022.98/x
  3. Step 3: Cross multiply
    3,488.82x = 5,232.51 × 1,022.98
  4. Step 4: Simplify right side
    3,488.82x = 5,352,753.08
  5. Step 5: Solve for x
    x = 5,352,753.08/3,488.82
  6. Step 6: Final answer
    x = 1,534.26

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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.