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Finding the Fourth Proportional to 5,765.96, 7,957.16 and 3,247.87

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Solution

The fourth proportional to 5,765.96, 7,957.16 and 3,247.87 is: 4,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.96 : 7,957.16 = 3,247.87 : x
  2. Step 2: Convert to fraction form
    5,765.96/7,957.16 = 3,247.87/x
  3. Step 3: Cross multiply
    5,765.96x = 7,957.16 × 3,247.87
  4. Step 4: Simplify right side
    5,765.96x = 25,843,821.25
  5. Step 5: Solve for x
    x = 25,843,821.25/5,765.96
  6. Step 6: Final answer
    x = 4,482.14

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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.