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Finding the Fourth Proportional to 5,765.46, 7,953.57 and 3,775.14

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Solution

The fourth proportional to 5,765.46, 7,953.57 and 3,775.14 is: 5,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.46 : 7,953.57 = 3,775.14 : x
  2. Step 2: Convert to fraction form
    5,765.46/7,953.57 = 3,775.14/x
  3. Step 3: Cross multiply
    5,765.46x = 7,953.57 × 3,775.14
  4. Step 4: Simplify right side
    5,765.46x = 30,025,840.25
  5. Step 5: Solve for x
    x = 30,025,840.25/5,765.46
  6. Step 6: Final answer
    x = 5,207.88

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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.