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Finding the Fourth Proportional to 3,488.81, 5,233.51 and 990.02

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Solution

The fourth proportional to 3,488.81, 5,233.51 and 990.02 is: 1,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.81 : 5,233.51 = 990.02 : x
  2. Step 2: Convert to fraction form
    3,488.81/5,233.51 = 990.02/x
  3. Step 3: Cross multiply
    3,488.81x = 5,233.51 × 990.02
  4. Step 4: Simplify right side
    3,488.81x = 5,181,293.89
  5. Step 5: Solve for x
    x = 5,181,293.89/3,488.81
  6. Step 6: Final answer
    x = 1,485.12

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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.