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Finding the Fourth Proportional to 3,065.86, 4,231.32 and 2,878.18

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Solution

The fourth proportional to 3,065.86, 4,231.32 and 2,878.18 is: 3,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.86 : 4,231.32 = 2,878.18 : x
  2. Step 2: Convert to fraction form
    3,065.86/4,231.32 = 2,878.18/x
  3. Step 3: Cross multiply
    3,065.86x = 4,231.32 × 2,878.18
  4. Step 4: Simplify right side
    3,065.86x = 12,178,500.60
  5. Step 5: Solve for x
    x = 12,178,500.60/3,065.86
  6. Step 6: Final answer
    x = 3,972.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.