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Finding the Fourth Proportional to 5,854.24, 8,782.56 and 1,958.68

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Solution

The fourth proportional to 5,854.24, 8,782.56 and 1,958.68 is: 2,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.24 : 8,782.56 = 1,958.68 : x
  2. Step 2: Convert to fraction form
    5,854.24/8,782.56 = 1,958.68/x
  3. Step 3: Cross multiply
    5,854.24x = 8,782.56 × 1,958.68
  4. Step 4: Simplify right side
    5,854.24x = 17,202,224.62
  5. Step 5: Solve for x
    x = 17,202,224.62/5,854.24
  6. Step 6: Final answer
    x = 2,938.42

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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.