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Finding the Fourth Proportional to 4,635.68, 6,941.37 and 3,177.68

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Solution

The fourth proportional to 4,635.68, 6,941.37 and 3,177.68 is: 4,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.68 : 6,941.37 = 3,177.68 : x
  2. Step 2: Convert to fraction form
    4,635.68/6,941.37 = 3,177.68/x
  3. Step 3: Cross multiply
    4,635.68x = 6,941.37 × 3,177.68
  4. Step 4: Simplify right side
    4,635.68x = 22,057,452.62
  5. Step 5: Solve for x
    x = 22,057,452.62/4,635.68
  6. Step 6: Final answer
    x = 4,758.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.