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Finding the Fourth Proportional to 5,844.34, 8,765.65 and 2,380.78

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Solution

The fourth proportional to 5,844.34, 8,765.65 and 2,380.78 is: 3,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.34 : 8,765.65 = 2,380.78 : x
  2. Step 2: Convert to fraction form
    5,844.34/8,765.65 = 2,380.78/x
  3. Step 3: Cross multiply
    5,844.34x = 8,765.65 × 2,380.78
  4. Step 4: Simplify right side
    5,844.34x = 20,869,084.21
  5. Step 5: Solve for x
    x = 20,869,084.21/5,844.34
  6. Step 6: Final answer
    x = 3,570.82

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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.