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Finding the Fourth Proportional to 3,952.61, 5,916.05 and 2,912.20

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Solution

The fourth proportional to 3,952.61, 5,916.05 and 2,912.20 is: 4,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.61 : 5,916.05 = 2,912.20 : x
  2. Step 2: Convert to fraction form
    3,952.61/5,916.05 = 2,912.20/x
  3. Step 3: Cross multiply
    3,952.61x = 5,916.05 × 2,912.20
  4. Step 4: Simplify right side
    3,952.61x = 17,228,720.81
  5. Step 5: Solve for x
    x = 17,228,720.81/3,952.61
  6. Step 6: Final answer
    x = 4,358.82

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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.