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Finding the Fourth Proportional to 3,565.71, 5,348.93 and 1,343.99

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Solution

The fourth proportional to 3,565.71, 5,348.93 and 1,343.99 is: 2,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.71 : 5,348.93 = 1,343.99 : x
  2. Step 2: Convert to fraction form
    3,565.71/5,348.93 = 1,343.99/x
  3. Step 3: Cross multiply
    3,565.71x = 5,348.93 × 1,343.99
  4. Step 4: Simplify right side
    3,565.71x = 7,188,874.97
  5. Step 5: Solve for x
    x = 7,188,874.97/3,565.71
  6. Step 6: Final answer
    x = 2,016.11

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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.