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Finding the Fourth Proportional to 3,565.90, 5,349.75 and 2,878.81

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Solution

The fourth proportional to 3,565.90, 5,349.75 and 2,878.81 is: 4,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.90 : 5,349.75 = 2,878.81 : x
  2. Step 2: Convert to fraction form
    3,565.90/5,349.75 = 2,878.81/x
  3. Step 3: Cross multiply
    3,565.90x = 5,349.75 × 2,878.81
  4. Step 4: Simplify right side
    3,565.90x = 15,400,913.80
  5. Step 5: Solve for x
    x = 15,400,913.80/3,565.90
  6. Step 6: Final answer
    x = 4,318.94

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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.