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Finding the Fourth Proportional to 5,494.80, 8,242.22 and 2,575.16

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Solution

The fourth proportional to 5,494.80, 8,242.22 and 2,575.16 is: 3,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.80 : 8,242.22 = 2,575.16 : x
  2. Step 2: Convert to fraction form
    5,494.80/8,242.22 = 2,575.16/x
  3. Step 3: Cross multiply
    5,494.80x = 8,242.22 × 2,575.16
  4. Step 4: Simplify right side
    5,494.80x = 21,225,035.26
  5. Step 5: Solve for x
    x = 21,225,035.26/5,494.80
  6. Step 6: Final answer
    x = 3,862.75

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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.