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Finding the Fourth Proportional to 5,824.92, 8,024.28 and 4,330.26

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Solution

The fourth proportional to 5,824.92, 8,024.28 and 4,330.26 is: 5,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.92 : 8,024.28 = 4,330.26 : x
  2. Step 2: Convert to fraction form
    5,824.92/8,024.28 = 4,330.26/x
  3. Step 3: Cross multiply
    5,824.92x = 8,024.28 × 4,330.26
  4. Step 4: Simplify right side
    5,824.92x = 34,747,218.71
  5. Step 5: Solve for x
    x = 34,747,218.71/5,824.92
  6. Step 6: Final answer
    x = 5,965.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.