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Finding the Fourth Proportional to 5,708.45, 7,876.22 and 3,350.13

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Solution

The fourth proportional to 5,708.45, 7,876.22 and 3,350.13 is: 4,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.45 : 7,876.22 = 3,350.13 : x
  2. Step 2: Convert to fraction form
    5,708.45/7,876.22 = 3,350.13/x
  3. Step 3: Cross multiply
    5,708.45x = 7,876.22 × 3,350.13
  4. Step 4: Simplify right side
    5,708.45x = 26,386,344.16
  5. Step 5: Solve for x
    x = 26,386,344.16/5,708.45
  6. Step 6: Final answer
    x = 4,622.33

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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.