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Finding the Fourth Proportional to 3,565.45, 5,348.18 and 968.32

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Solution

The fourth proportional to 3,565.45, 5,348.18 and 968.32 is: 1,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.45 : 5,348.18 = 968.32 : x
  2. Step 2: Convert to fraction form
    3,565.45/5,348.18 = 968.32/x
  3. Step 3: Cross multiply
    3,565.45x = 5,348.18 × 968.32
  4. Step 4: Simplify right side
    3,565.45x = 5,178,749.66
  5. Step 5: Solve for x
    x = 5,178,749.66/3,565.45
  6. Step 6: Final answer
    x = 1,452.48

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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.