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Finding the Fourth Proportional to 3,959.59, 5,468.89 and 3,165.67

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Solution

The fourth proportional to 3,959.59, 5,468.89 and 3,165.67 is: 4,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.59 : 5,468.89 = 3,165.67 : x
  2. Step 2: Convert to fraction form
    3,959.59/5,468.89 = 3,165.67/x
  3. Step 3: Cross multiply
    3,959.59x = 5,468.89 × 3,165.67
  4. Step 4: Simplify right side
    3,959.59x = 17,312,679.42
  5. Step 5: Solve for x
    x = 17,312,679.42/3,959.59
  6. Step 6: Final answer
    x = 4,372.34

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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.