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Finding the Fourth Proportional to 3,488.96, 5,233.93 and 1,023.44

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Solution

The fourth proportional to 3,488.96, 5,233.93 and 1,023.44 is: 1,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.96 : 5,233.93 = 1,023.44 : x
  2. Step 2: Convert to fraction form
    3,488.96/5,233.93 = 1,023.44/x
  3. Step 3: Cross multiply
    3,488.96x = 5,233.93 × 1,023.44
  4. Step 4: Simplify right side
    3,488.96x = 5,356,584.59
  5. Step 5: Solve for x
    x = 5,356,584.59/3,488.96
  6. Step 6: Final answer
    x = 1,535.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.