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Finding the Fourth Proportional to 5,842.12, 8,765.52 and 2,378.56

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Solution

The fourth proportional to 5,842.12, 8,765.52 and 2,378.56 is: 3,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.12 : 8,765.52 = 2,378.56 : x
  2. Step 2: Convert to fraction form
    5,842.12/8,765.52 = 2,378.56/x
  3. Step 3: Cross multiply
    5,842.12x = 8,765.52 × 2,378.56
  4. Step 4: Simplify right side
    5,842.12x = 20,849,315.25
  5. Step 5: Solve for x
    x = 20,849,315.25/5,842.12
  6. Step 6: Final answer
    x = 3,568.79

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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.