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Finding the Fourth Proportional to 3,982.16, 5,938.17 and 3,705.14

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Solution

The fourth proportional to 3,982.16, 5,938.17 and 3,705.14 is: 5,525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.16 : 5,938.17 = 3,705.14 : x
  2. Step 2: Convert to fraction form
    3,982.16/5,938.17 = 3,705.14/x
  3. Step 3: Cross multiply
    3,982.16x = 5,938.17 × 3,705.14
  4. Step 4: Simplify right side
    3,982.16x = 22,001,751.19
  5. Step 5: Solve for x
    x = 22,001,751.19/3,982.16
  6. Step 6: Final answer
    x = 5,525.08

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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.