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Finding the Fourth Proportional to 3,465.25, 5,200.16 and 1,517.46

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Solution

The fourth proportional to 3,465.25, 5,200.16 and 1,517.46 is: 2,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.25 : 5,200.16 = 1,517.46 : x
  2. Step 2: Convert to fraction form
    3,465.25/5,200.16 = 1,517.46/x
  3. Step 3: Cross multiply
    3,465.25x = 5,200.16 × 1,517.46
  4. Step 4: Simplify right side
    3,465.25x = 7,891,034.79
  5. Step 5: Solve for x
    x = 7,891,034.79/3,465.25
  6. Step 6: Final answer
    x = 2,277.19

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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.