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Finding the Fourth Proportional to 2,964.47, 4,085.17 and 2,771.75

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Solution

The fourth proportional to 2,964.47, 4,085.17 and 2,771.75 is: 3,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.47 : 4,085.17 = 2,771.75 : x
  2. Step 2: Convert to fraction form
    2,964.47/4,085.17 = 2,771.75/x
  3. Step 3: Cross multiply
    2,964.47x = 4,085.17 × 2,771.75
  4. Step 4: Simplify right side
    2,964.47x = 11,323,073.23
  5. Step 5: Solve for x
    x = 11,323,073.23/2,964.47
  6. Step 6: Final answer
    x = 3,819.60

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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.