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Finding the Fourth Proportional to 5,840, 8,759.68 and 2,380.16

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Solution

The fourth proportional to 5,840, 8,759.68 and 2,380.16 is: 3,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 8,759.68 = 2,380.16 : x
  2. Step 2: Convert to fraction form
    5,840/8,759.68 = 2,380.16/x
  3. Step 3: Cross multiply
    5,840x = 8,759.68 × 2,380.16
  4. Step 4: Simplify right side
    5,840x = 20,849,439.95
  5. Step 5: Solve for x
    x = 20,849,439.95/5,840
  6. Step 6: Final answer
    x = 3,570.11

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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.