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Finding the Fourth Proportional to 3,689.20, 5,091 and 2,010.64

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Solution

The fourth proportional to 3,689.20, 5,091 and 2,010.64 is: 2,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.20 : 5,091 = 2,010.64 : x
  2. Step 2: Convert to fraction form
    3,689.20/5,091 = 2,010.64/x
  3. Step 3: Cross multiply
    3,689.20x = 5,091 × 2,010.64
  4. Step 4: Simplify right side
    3,689.20x = 10,236,168.24
  5. Step 5: Solve for x
    x = 10,236,168.24/3,689.20
  6. Step 6: Final answer
    x = 2,774.63

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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.