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Finding the Fourth Proportional to 3,488.72, 5,233.10 and 1,023.52

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Solution

The fourth proportional to 3,488.72, 5,233.10 and 1,023.52 is: 1,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.72 : 5,233.10 = 1,023.52 : x
  2. Step 2: Convert to fraction form
    3,488.72/5,233.10 = 1,023.52/x
  3. Step 3: Cross multiply
    3,488.72x = 5,233.10 × 1,023.52
  4. Step 4: Simplify right side
    3,488.72x = 5,356,182.51
  5. Step 5: Solve for x
    x = 5,356,182.51/3,488.72
  6. Step 6: Final answer
    x = 1,535.29

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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.