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Finding the Fourth Proportional to 3,565.72, 5,347.86 and 968.04

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Solution

The fourth proportional to 3,565.72, 5,347.86 and 968.04 is: 1,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.72 : 5,347.86 = 968.04 : x
  2. Step 2: Convert to fraction form
    3,565.72/5,347.86 = 968.04/x
  3. Step 3: Cross multiply
    3,565.72x = 5,347.86 × 968.04
  4. Step 4: Simplify right side
    3,565.72x = 5,176,942.39
  5. Step 5: Solve for x
    x = 5,176,942.39/3,565.72
  6. Step 6: Final answer
    x = 1,451.86

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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.