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Finding the Fourth Proportional to 3,916.93, 5,876.93 and 1,724.12

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Solution

The fourth proportional to 3,916.93, 5,876.93 and 1,724.12 is: 2,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.93 : 5,876.93 = 1,724.12 : x
  2. Step 2: Convert to fraction form
    3,916.93/5,876.93 = 1,724.12/x
  3. Step 3: Cross multiply
    3,916.93x = 5,876.93 × 1,724.12
  4. Step 4: Simplify right side
    3,916.93x = 10,132,540.53
  5. Step 5: Solve for x
    x = 10,132,540.53/3,916.93
  6. Step 6: Final answer
    x = 2,586.86

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1.5x scale

Why These Related Problems?

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