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Finding the Fourth Proportional to 5,672.57, 7,827.64 and 3,314.25

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Solution

The fourth proportional to 5,672.57, 7,827.64 and 3,314.25 is: 4,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.57 : 7,827.64 = 3,314.25 : x
  2. Step 2: Convert to fraction form
    5,672.57/7,827.64 = 3,314.25/x
  3. Step 3: Cross multiply
    5,672.57x = 7,827.64 × 3,314.25
  4. Step 4: Simplify right side
    5,672.57x = 25,942,747.58
  5. Step 5: Solve for x
    x = 25,942,747.58/5,672.57
  6. Step 6: Final answer
    x = 4,573.37

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.