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Finding the Fourth Proportional to 3,120.47, 4,306.25 and 1,723.22

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Solution

The fourth proportional to 3,120.47, 4,306.25 and 1,723.22 is: 2,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.47 : 4,306.25 = 1,723.22 : x
  2. Step 2: Convert to fraction form
    3,120.47/4,306.25 = 1,723.22/x
  3. Step 3: Cross multiply
    3,120.47x = 4,306.25 × 1,723.22
  4. Step 4: Simplify right side
    3,120.47x = 7,420,605.36
  5. Step 5: Solve for x
    x = 7,420,605.36/3,120.47
  6. Step 6: Final answer
    x = 2,378.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.