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Finding the Fourth Proportional to 3,500.54, 5,251.22 and 1,160.75

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Solution

The fourth proportional to 3,500.54, 5,251.22 and 1,160.75 is: 1,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.54 : 5,251.22 = 1,160.75 : x
  2. Step 2: Convert to fraction form
    3,500.54/5,251.22 = 1,160.75/x
  3. Step 3: Cross multiply
    3,500.54x = 5,251.22 × 1,160.75
  4. Step 4: Simplify right side
    3,500.54x = 6,095,347.81
  5. Step 5: Solve for x
    x = 6,095,347.81/3,500.54
  6. Step 6: Final answer
    x = 1,741.26

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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.