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Finding the Fourth Proportional to 3,562.74, 4,917.94 and 3,189.04

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Solution

The fourth proportional to 3,562.74, 4,917.94 and 3,189.04 is: 4,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.74 : 4,917.94 = 3,189.04 : x
  2. Step 2: Convert to fraction form
    3,562.74/4,917.94 = 3,189.04/x
  3. Step 3: Cross multiply
    3,562.74x = 4,917.94 × 3,189.04
  4. Step 4: Simplify right side
    3,562.74x = 15,683,487.11
  5. Step 5: Solve for x
    x = 15,683,487.11/3,562.74
  6. Step 6: Final answer
    x = 4,402.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.