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Finding the Fourth Proportional to 3,805.26, 5,703.69 and 2,488.47

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Solution

The fourth proportional to 3,805.26, 5,703.69 and 2,488.47 is: 3,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.26 : 5,703.69 = 2,488.47 : x
  2. Step 2: Convert to fraction form
    3,805.26/5,703.69 = 2,488.47/x
  3. Step 3: Cross multiply
    3,805.26x = 5,703.69 × 2,488.47
  4. Step 4: Simplify right side
    3,805.26x = 14,193,461.45
  5. Step 5: Solve for x
    x = 14,193,461.45/3,805.26
  6. Step 6: Final answer
    x = 3,729.96

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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.