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Finding the Fourth Proportional to 5,493.80, 8,242.62 and 1,598.44

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Solution

The fourth proportional to 5,493.80, 8,242.62 and 1,598.44 is: 2,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.80 : 8,242.62 = 1,598.44 : x
  2. Step 2: Convert to fraction form
    5,493.80/8,242.62 = 1,598.44/x
  3. Step 3: Cross multiply
    5,493.80x = 8,242.62 × 1,598.44
  4. Step 4: Simplify right side
    5,493.80x = 13,175,333.51
  5. Step 5: Solve for x
    x = 13,175,333.51/5,493.80
  6. Step 6: Final answer
    x = 2,398.22

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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.