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Finding the Fourth Proportional to 3,686.59, 5,530.08 and 1,089.73

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Solution

The fourth proportional to 3,686.59, 5,530.08 and 1,089.73 is: 1,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.59 : 5,530.08 = 1,089.73 : x
  2. Step 2: Convert to fraction form
    3,686.59/5,530.08 = 1,089.73/x
  3. Step 3: Cross multiply
    3,686.59x = 5,530.08 × 1,089.73
  4. Step 4: Simplify right side
    3,686.59x = 6,026,294.08
  5. Step 5: Solve for x
    x = 6,026,294.08/3,686.59
  6. Step 6: Final answer
    x = 1,634.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.