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Finding the Fourth Proportional to 3,565.57, 5,348.63 and 968.44

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Solution

The fourth proportional to 3,565.57, 5,348.63 and 968.44 is: 1,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.57 : 5,348.63 = 968.44 : x
  2. Step 2: Convert to fraction form
    3,565.57/5,348.63 = 968.44/x
  3. Step 3: Cross multiply
    3,565.57x = 5,348.63 × 968.44
  4. Step 4: Simplify right side
    3,565.57x = 5,179,809.02
  5. Step 5: Solve for x
    x = 5,179,809.02/3,565.57
  6. Step 6: Final answer
    x = 1,452.73

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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.