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Finding the Fourth Proportional to 3,820.28, 5,678.92 and 3,708.18

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Solution

The fourth proportional to 3,820.28, 5,678.92 and 3,708.18 is: 5,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.28 : 5,678.92 = 3,708.18 : x
  2. Step 2: Convert to fraction form
    3,820.28/5,678.92 = 3,708.18/x
  3. Step 3: Cross multiply
    3,820.28x = 5,678.92 × 3,708.18
  4. Step 4: Simplify right side
    3,820.28x = 21,058,457.57
  5. Step 5: Solve for x
    x = 21,058,457.57/3,820.28
  6. Step 6: Final answer
    x = 5,512.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.