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Finding the Fourth Proportional to 5,762.28, 8,643.42 and 2,299.56

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Solution

The fourth proportional to 5,762.28, 8,643.42 and 2,299.56 is: 3,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.28 : 8,643.42 = 2,299.56 : x
  2. Step 2: Convert to fraction form
    5,762.28/8,643.42 = 2,299.56/x
  3. Step 3: Cross multiply
    5,762.28x = 8,643.42 × 2,299.56
  4. Step 4: Simplify right side
    5,762.28x = 19,876,062.90
  5. Step 5: Solve for x
    x = 19,876,062.90/5,762.28
  6. Step 6: Final answer
    x = 3,449.34

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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.