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Finding the Fourth Proportional to 5,765.59, 7,957.67 and 3,775.42

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Solution

The fourth proportional to 5,765.59, 7,957.67 and 3,775.42 is: 5,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.59 : 7,957.67 = 3,775.42 : x
  2. Step 2: Convert to fraction form
    5,765.59/7,957.67 = 3,775.42/x
  3. Step 3: Cross multiply
    5,765.59x = 7,957.67 × 3,775.42
  4. Step 4: Simplify right side
    5,765.59x = 30,043,546.47
  5. Step 5: Solve for x
    x = 30,043,546.47/5,765.59
  6. Step 6: Final answer
    x = 5,210.84

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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.