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Finding the Fourth Proportional to 5,684.85, 7,845.62 and 3,167.46

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Solution

The fourth proportional to 5,684.85, 7,845.62 and 3,167.46 is: 4,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.85 : 7,845.62 = 3,167.46 : x
  2. Step 2: Convert to fraction form
    5,684.85/7,845.62 = 3,167.46/x
  3. Step 3: Cross multiply
    5,684.85x = 7,845.62 × 3,167.46
  4. Step 4: Simplify right side
    5,684.85x = 24,850,671.69
  5. Step 5: Solve for x
    x = 24,850,671.69/5,684.85
  6. Step 6: Final answer
    x = 4,371.39

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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.