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Finding the Fourth Proportional to 3,860.80, 5,327.16 and 2,289.20

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Solution

The fourth proportional to 3,860.80, 5,327.16 and 2,289.20 is: 3,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.80 : 5,327.16 = 2,289.20 : x
  2. Step 2: Convert to fraction form
    3,860.80/5,327.16 = 2,289.20/x
  3. Step 3: Cross multiply
    3,860.80x = 5,327.16 × 2,289.20
  4. Step 4: Simplify right side
    3,860.80x = 12,194,934.67
  5. Step 5: Solve for x
    x = 12,194,934.67/3,860.80
  6. Step 6: Final answer
    x = 3,158.65

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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.