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Finding the Fourth Proportional to 3,277.71, 4,914.74 and 1,085.24

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Solution

The fourth proportional to 3,277.71, 4,914.74 and 1,085.24 is: 1,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.71 : 4,914.74 = 1,085.24 : x
  2. Step 2: Convert to fraction form
    3,277.71/4,914.74 = 1,085.24/x
  3. Step 3: Cross multiply
    3,277.71x = 4,914.74 × 1,085.24
  4. Step 4: Simplify right side
    3,277.71x = 5,333,687.44
  5. Step 5: Solve for x
    x = 5,333,687.44/3,277.71
  6. Step 6: Final answer
    x = 1,627.26

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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.