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Finding the Fourth Proportional to 3,488.81, 5,231.57 and 1,022.99

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Solution

The fourth proportional to 3,488.81, 5,231.57 and 1,022.99 is: 1,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.81 : 5,231.57 = 1,022.99 : x
  2. Step 2: Convert to fraction form
    3,488.81/5,231.57 = 1,022.99/x
  3. Step 3: Cross multiply
    3,488.81x = 5,231.57 × 1,022.99
  4. Step 4: Simplify right side
    3,488.81x = 5,351,812.52
  5. Step 5: Solve for x
    x = 5,351,812.52/3,488.81
  6. Step 6: Final answer
    x = 1,534.00

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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.