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Finding the Fourth Proportional to 3,597.78, 5,396.07 and 1,000.02

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Solution

The fourth proportional to 3,597.78, 5,396.07 and 1,000.02 is: 1,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.78 : 5,396.07 = 1,000.02 : x
  2. Step 2: Convert to fraction form
    3,597.78/5,396.07 = 1,000.02/x
  3. Step 3: Cross multiply
    3,597.78x = 5,396.07 × 1,000.02
  4. Step 4: Simplify right side
    3,597.78x = 5,396,177.92
  5. Step 5: Solve for x
    x = 5,396,177.92/3,597.78
  6. Step 6: Final answer
    x = 1,499.86

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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.