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Finding the Fourth Proportional to 3,291.57, 4,540.73 and 2,111.76

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Solution

The fourth proportional to 3,291.57, 4,540.73 and 2,111.76 is: 2,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.57 : 4,540.73 = 2,111.76 : x
  2. Step 2: Convert to fraction form
    3,291.57/4,540.73 = 2,111.76/x
  3. Step 3: Cross multiply
    3,291.57x = 4,540.73 × 2,111.76
  4. Step 4: Simplify right side
    3,291.57x = 9,588,921.43
  5. Step 5: Solve for x
    x = 9,588,921.43/3,291.57
  6. Step 6: Final answer
    x = 2,913.18

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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.