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Finding the Fourth Proportional to 5,765.60, 7,958.64 and 3,851.84

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Solution

The fourth proportional to 5,765.60, 7,958.64 and 3,851.84 is: 5,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.60 : 7,958.64 = 3,851.84 : x
  2. Step 2: Convert to fraction form
    5,765.60/7,958.64 = 3,851.84/x
  3. Step 3: Cross multiply
    5,765.60x = 7,958.64 × 3,851.84
  4. Step 4: Simplify right side
    5,765.60x = 30,655,407.90
  5. Step 5: Solve for x
    x = 30,655,407.90/5,765.60
  6. Step 6: Final answer
    x = 5,316.95

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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.