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Finding the Fourth Proportional to 5,402.40, 8,113.20 and 3,943.20

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Solution

The fourth proportional to 5,402.40, 8,113.20 and 3,943.20 is: 5,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.40 : 8,113.20 = 3,943.20 : x
  2. Step 2: Convert to fraction form
    5,402.40/8,113.20 = 3,943.20/x
  3. Step 3: Cross multiply
    5,402.40x = 8,113.20 × 3,943.20
  4. Step 4: Simplify right side
    5,402.40x = 31,991,970.24
  5. Step 5: Solve for x
    x = 31,991,970.24/5,402.40
  6. Step 6: Final answer
    x = 5,921.81

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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.