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Finding the Fourth Proportional to 5,684.51, 7,845.20 and 3,167.03

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Solution

The fourth proportional to 5,684.51, 7,845.20 and 3,167.03 is: 4,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.51 : 7,845.20 = 3,167.03 : x
  2. Step 2: Convert to fraction form
    5,684.51/7,845.20 = 3,167.03/x
  3. Step 3: Cross multiply
    5,684.51x = 7,845.20 × 3,167.03
  4. Step 4: Simplify right side
    5,684.51x = 24,846,017.22
  5. Step 5: Solve for x
    x = 24,846,017.22/5,684.51
  6. Step 6: Final answer
    x = 4,370.83

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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.