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Finding the Fourth Proportional to 5,684.89, 7,845.03 and 3,167.00

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Solution

The fourth proportional to 5,684.89, 7,845.03 and 3,167.00 is: 4,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.89 : 7,845.03 = 3,167.00 : x
  2. Step 2: Convert to fraction form
    5,684.89/7,845.03 = 3,167.00/x
  3. Step 3: Cross multiply
    5,684.89x = 7,845.03 × 3,167.00
  4. Step 4: Simplify right side
    5,684.89x = 24,845,170.78
  5. Step 5: Solve for x
    x = 24,845,170.78/5,684.89
  6. Step 6: Final answer
    x = 4,370.39

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Half scale
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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.