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Finding the Fourth Proportional to 3,686.40, 5,500.80 and 3,598.56

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Solution

The fourth proportional to 3,686.40, 5,500.80 and 3,598.56 is: 5,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.40 : 5,500.80 = 3,598.56 : x
  2. Step 2: Convert to fraction form
    3,686.40/5,500.80 = 3,598.56/x
  3. Step 3: Cross multiply
    3,686.40x = 5,500.80 × 3,598.56
  4. Step 4: Simplify right side
    3,686.40x = 19,794,958.85
  5. Step 5: Solve for x
    x = 19,794,958.85/3,686.40
  6. Step 6: Final answer
    x = 5,369.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.