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Finding the Fourth Proportional to 3,707.97, 5,116.68 and 2,381.64

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Solution

The fourth proportional to 3,707.97, 5,116.68 and 2,381.64 is: 3,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.97 : 5,116.68 = 2,381.64 : x
  2. Step 2: Convert to fraction form
    3,707.97/5,116.68 = 2,381.64/x
  3. Step 3: Cross multiply
    3,707.97x = 5,116.68 × 2,381.64
  4. Step 4: Simplify right side
    3,707.97x = 12,186,089.76
  5. Step 5: Solve for x
    x = 12,186,089.76/3,707.97
  6. Step 6: Final answer
    x = 3,286.46

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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.