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Finding the Fourth Proportional to 3,916.26, 5,870.28 and 1,449.48

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Solution

The fourth proportional to 3,916.26, 5,870.28 and 1,449.48 is: 2,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.26 : 5,870.28 = 1,449.48 : x
  2. Step 2: Convert to fraction form
    3,916.26/5,870.28 = 1,449.48/x
  3. Step 3: Cross multiply
    3,916.26x = 5,870.28 × 1,449.48
  4. Step 4: Simplify right side
    3,916.26x = 8,508,853.45
  5. Step 5: Solve for x
    x = 8,508,853.45/3,916.26
  6. Step 6: Final answer
    x = 2,172.70

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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.