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Finding the Fourth Proportional to 5,493.80, 8,242.07 and 1,598.22

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Solution

The fourth proportional to 5,493.80, 8,242.07 and 1,598.22 is: 2,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.80 : 8,242.07 = 1,598.22 : x
  2. Step 2: Convert to fraction form
    5,493.80/8,242.07 = 1,598.22/x
  3. Step 3: Cross multiply
    5,493.80x = 8,242.07 × 1,598.22
  4. Step 4: Simplify right side
    5,493.80x = 13,172,633.12
  5. Step 5: Solve for x
    x = 13,172,633.12/5,493.80
  6. Step 6: Final answer
    x = 2,397.73

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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.