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Finding the Fourth Proportional to 4,794.44, 7,191.66 and 2,741

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Solution

The fourth proportional to 4,794.44, 7,191.66 and 2,741 is: 4,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.44 : 7,191.66 = 2,741 : x
  2. Step 2: Convert to fraction form
    4,794.44/7,191.66 = 2,741/x
  3. Step 3: Cross multiply
    4,794.44x = 7,191.66 × 2,741
  4. Step 4: Simplify right side
    4,794.44x = 19,712,340.06
  5. Step 5: Solve for x
    x = 19,712,340.06/4,794.44
  6. Step 6: Final answer
    x = 4,111.50

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Why These Related Problems?

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