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Finding the Fourth Proportional to 3,497.60, 5,246.82 and 1,743.14

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Solution

The fourth proportional to 3,497.60, 5,246.82 and 1,743.14 is: 2,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.60 : 5,246.82 = 1,743.14 : x
  2. Step 2: Convert to fraction form
    3,497.60/5,246.82 = 1,743.14/x
  3. Step 3: Cross multiply
    3,497.60x = 5,246.82 × 1,743.14
  4. Step 4: Simplify right side
    3,497.60x = 9,145,954.93
  5. Step 5: Solve for x
    x = 9,145,954.93/3,497.60
  6. Step 6: Final answer
    x = 2,614.92

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1.5x scale

Why These Related Problems?

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