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Finding the Fourth Proportional to 3,691.11, 5,536.65 and 917.76

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Solution

The fourth proportional to 3,691.11, 5,536.65 and 917.76 is: 1,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.11 : 5,536.65 = 917.76 : x
  2. Step 2: Convert to fraction form
    3,691.11/5,536.65 = 917.76/x
  3. Step 3: Cross multiply
    3,691.11x = 5,536.65 × 917.76
  4. Step 4: Simplify right side
    3,691.11x = 5,081,315.90
  5. Step 5: Solve for x
    x = 5,081,315.90/3,691.11
  6. Step 6: Final answer
    x = 1,376.64

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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.