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Finding the Fourth Proportional to 3,500.95, 5,251.71 and 1,160.86

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Solution

The fourth proportional to 3,500.95, 5,251.71 and 1,160.86 is: 1,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.95 : 5,251.71 = 1,160.86 : x
  2. Step 2: Convert to fraction form
    3,500.95/5,251.71 = 1,160.86/x
  3. Step 3: Cross multiply
    3,500.95x = 5,251.71 × 1,160.86
  4. Step 4: Simplify right side
    3,500.95x = 6,096,468.01
  5. Step 5: Solve for x
    x = 6,096,468.01/3,500.95
  6. Step 6: Final answer
    x = 1,741.38

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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.