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Finding the Fourth Proportional to 3,488.26, 5,232.86 and 1,023.26

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Solution

The fourth proportional to 3,488.26, 5,232.86 and 1,023.26 is: 1,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.26 : 5,232.86 = 1,023.26 : x
  2. Step 2: Convert to fraction form
    3,488.26/5,232.86 = 1,023.26/x
  3. Step 3: Cross multiply
    3,488.26x = 5,232.86 × 1,023.26
  4. Step 4: Simplify right side
    3,488.26x = 5,354,576.32
  5. Step 5: Solve for x
    x = 5,354,576.32/3,488.26
  6. Step 6: Final answer
    x = 1,535.03

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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.