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Finding the Fourth Proportional to 3,388.96, 4,641.72 and 3,189.70

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Solution

The fourth proportional to 3,388.96, 4,641.72 and 3,189.70 is: 4,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.96 : 4,641.72 = 3,189.70 : x
  2. Step 2: Convert to fraction form
    3,388.96/4,641.72 = 3,189.70/x
  3. Step 3: Cross multiply
    3,388.96x = 4,641.72 × 3,189.70
  4. Step 4: Simplify right side
    3,388.96x = 14,805,694.28
  5. Step 5: Solve for x
    x = 14,805,694.28/3,388.96
  6. Step 6: Final answer
    x = 4,368.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.