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Finding the Fourth Proportional to 4,805.74, 6,630.42 and 2,709.46

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Solution

The fourth proportional to 4,805.74, 6,630.42 and 2,709.46 is: 3,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.74 : 6,630.42 = 2,709.46 : x
  2. Step 2: Convert to fraction form
    4,805.74/6,630.42 = 2,709.46/x
  3. Step 3: Cross multiply
    4,805.74x = 6,630.42 × 2,709.46
  4. Step 4: Simplify right side
    4,805.74x = 17,964,857.77
  5. Step 5: Solve for x
    x = 17,964,857.77/4,805.74
  6. Step 6: Final answer
    x = 3,738.21

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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.