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Finding the Fourth Proportional to 5,323.41, 7,968.38 and 3,862.17

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Solution

The fourth proportional to 5,323.41, 7,968.38 and 3,862.17 is: 5,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.41 : 7,968.38 = 3,862.17 : x
  2. Step 2: Convert to fraction form
    5,323.41/7,968.38 = 3,862.17/x
  3. Step 3: Cross multiply
    5,323.41x = 7,968.38 × 3,862.17
  4. Step 4: Simplify right side
    5,323.41x = 30,775,218.87
  5. Step 5: Solve for x
    x = 30,775,218.87/5,323.41
  6. Step 6: Final answer
    x = 5,781.11

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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.