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Finding the Fourth Proportional to 4,093.34, 6,138.89 and 1,752.18

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Solution

The fourth proportional to 4,093.34, 6,138.89 and 1,752.18 is: 2,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.34 : 6,138.89 = 1,752.18 : x
  2. Step 2: Convert to fraction form
    4,093.34/6,138.89 = 1,752.18/x
  3. Step 3: Cross multiply
    4,093.34x = 6,138.89 × 1,752.18
  4. Step 4: Simplify right side
    4,093.34x = 10,756,431.52
  5. Step 5: Solve for x
    x = 10,756,431.52/4,093.34
  6. Step 6: Final answer
    x = 2,627.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.