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Finding the Fourth Proportional to 3,598.70, 5,398.43 and 1,748.48

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Solution

The fourth proportional to 3,598.70, 5,398.43 and 1,748.48 is: 2,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.70 : 5,398.43 = 1,748.48 : x
  2. Step 2: Convert to fraction form
    3,598.70/5,398.43 = 1,748.48/x
  3. Step 3: Cross multiply
    3,598.70x = 5,398.43 × 1,748.48
  4. Step 4: Simplify right side
    3,598.70x = 9,439,011.15
  5. Step 5: Solve for x
    x = 9,439,011.15/3,598.70
  6. Step 6: Final answer
    x = 2,622.90

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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.