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Finding the Fourth Proportional to 3,598.98, 5,391.24 and 1,648.50

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Solution

The fourth proportional to 3,598.98, 5,391.24 and 1,648.50 is: 2,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.98 : 5,391.24 = 1,648.50 : x
  2. Step 2: Convert to fraction form
    3,598.98/5,391.24 = 1,648.50/x
  3. Step 3: Cross multiply
    3,598.98x = 5,391.24 × 1,648.50
  4. Step 4: Simplify right side
    3,598.98x = 8,887,459.14
  5. Step 5: Solve for x
    x = 8,887,459.14/3,598.98
  6. Step 6: Final answer
    x = 2,469.44

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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.