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Finding the Fourth Proportional to 5,493.63, 8,242.17 and 1,598.04

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Solution

The fourth proportional to 5,493.63, 8,242.17 and 1,598.04 is: 2,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.63 : 8,242.17 = 1,598.04 : x
  2. Step 2: Convert to fraction form
    5,493.63/8,242.17 = 1,598.04/x
  3. Step 3: Cross multiply
    5,493.63x = 8,242.17 × 1,598.04
  4. Step 4: Simplify right side
    5,493.63x = 13,171,317.35
  5. Step 5: Solve for x
    x = 13,171,317.35/5,493.63
  6. Step 6: Final answer
    x = 2,397.56

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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.