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Finding the Fourth Proportional to 3,565.55, 5,348.23 and 968.42

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Solution

The fourth proportional to 3,565.55, 5,348.23 and 968.42 is: 1,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.55 : 5,348.23 = 968.42 : x
  2. Step 2: Convert to fraction form
    3,565.55/5,348.23 = 968.42/x
  3. Step 3: Cross multiply
    3,565.55x = 5,348.23 × 968.42
  4. Step 4: Simplify right side
    3,565.55x = 5,179,301.31
  5. Step 5: Solve for x
    x = 5,179,301.31/3,565.55
  6. Step 6: Final answer
    x = 1,452.60

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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.