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Finding the Fourth Proportional to 3,562, 5,344.38 and 1,713.04

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Solution

The fourth proportional to 3,562, 5,344.38 and 1,713.04 is: 2,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562 : 5,344.38 = 1,713.04 : x
  2. Step 2: Convert to fraction form
    3,562/5,344.38 = 1,713.04/x
  3. Step 3: Cross multiply
    3,562x = 5,344.38 × 1,713.04
  4. Step 4: Simplify right side
    3,562x = 9,155,136.72
  5. Step 5: Solve for x
    x = 9,155,136.72/3,562
  6. Step 6: Final answer
    x = 2,570.22

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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.