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Finding the Fourth Proportional to 3,871.19, 5,806.69 and 1,274.13

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Solution

The fourth proportional to 3,871.19, 5,806.69 and 1,274.13 is: 1,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.19 : 5,806.69 = 1,274.13 : x
  2. Step 2: Convert to fraction form
    3,871.19/5,806.69 = 1,274.13/x
  3. Step 3: Cross multiply
    3,871.19x = 5,806.69 × 1,274.13
  4. Step 4: Simplify right side
    3,871.19x = 7,398,474.74
  5. Step 5: Solve for x
    x = 7,398,474.74/3,871.19
  6. Step 6: Final answer
    x = 1,911.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.