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Finding the Fourth Proportional to 3,916.23, 5,874.26 and 954.69

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Solution

The fourth proportional to 3,916.23, 5,874.26 and 954.69 is: 1,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.23 : 5,874.26 = 954.69 : x
  2. Step 2: Convert to fraction form
    3,916.23/5,874.26 = 954.69/x
  3. Step 3: Cross multiply
    3,916.23x = 5,874.26 × 954.69
  4. Step 4: Simplify right side
    3,916.23x = 5,608,070.48
  5. Step 5: Solve for x
    x = 5,608,070.48/3,916.23
  6. Step 6: Final answer
    x = 1,432.01

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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.