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Finding the Fourth Proportional to 3,589.60, 4,954.48 and 2,265.11

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Solution

The fourth proportional to 3,589.60, 4,954.48 and 2,265.11 is: 3,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.60 : 4,954.48 = 2,265.11 : x
  2. Step 2: Convert to fraction form
    3,589.60/4,954.48 = 2,265.11/x
  3. Step 3: Cross multiply
    3,589.60x = 4,954.48 × 2,265.11
  4. Step 4: Simplify right side
    3,589.60x = 11,222,448.92
  5. Step 5: Solve for x
    x = 11,222,448.92/3,589.60
  6. Step 6: Final answer
    x = 3,126.38

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Why These Related Problems?

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