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Finding the Fourth Proportional to 3,488.90, 5,232.92 and 990.14

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Solution

The fourth proportional to 3,488.90, 5,232.92 and 990.14 is: 1,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.90 : 5,232.92 = 990.14 : x
  2. Step 2: Convert to fraction form
    3,488.90/5,232.92 = 990.14/x
  3. Step 3: Cross multiply
    3,488.90x = 5,232.92 × 990.14
  4. Step 4: Simplify right side
    3,488.90x = 5,181,292.29
  5. Step 5: Solve for x
    x = 5,181,292.29/3,488.90
  6. Step 6: Final answer
    x = 1,485.08

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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.