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Finding the Fourth Proportional to 5,703.67, 8,549.69 and 3,854.97

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Solution

The fourth proportional to 5,703.67, 8,549.69 and 3,854.97 is: 5,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.67 : 8,549.69 = 3,854.97 : x
  2. Step 2: Convert to fraction form
    5,703.67/8,549.69 = 3,854.97/x
  3. Step 3: Cross multiply
    5,703.67x = 8,549.69 × 3,854.97
  4. Step 4: Simplify right side
    5,703.67x = 32,958,771.40
  5. Step 5: Solve for x
    x = 32,958,771.40/5,703.67
  6. Step 6: Final answer
    x = 5,778.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.