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Finding the Fourth Proportional to 5,684.49, 7,844.94 and 3,167.10

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Solution

The fourth proportional to 5,684.49, 7,844.94 and 3,167.10 is: 4,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.49 : 7,844.94 = 3,167.10 : x
  2. Step 2: Convert to fraction form
    5,684.49/7,844.94 = 3,167.10/x
  3. Step 3: Cross multiply
    5,684.49x = 7,844.94 × 3,167.10
  4. Step 4: Simplify right side
    5,684.49x = 24,845,709.47
  5. Step 5: Solve for x
    x = 24,845,709.47/5,684.49
  6. Step 6: Final answer
    x = 4,370.79

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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.