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Finding the Fourth Proportional to 5,765.38, 8,648.98 and 2,478.60

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Solution

The fourth proportional to 5,765.38, 8,648.98 and 2,478.60 is: 3,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.38 : 8,648.98 = 2,478.60 : x
  2. Step 2: Convert to fraction form
    5,765.38/8,648.98 = 2,478.60/x
  3. Step 3: Cross multiply
    5,765.38x = 8,648.98 × 2,478.60
  4. Step 4: Simplify right side
    5,765.38x = 21,437,355.63
  5. Step 5: Solve for x
    x = 21,437,355.63/5,765.38
  6. Step 6: Final answer
    x = 3,718.29

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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.