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Finding the Fourth Proportional to 3,897.72, 5,846.04 and 1,265.22

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Solution

The fourth proportional to 3,897.72, 5,846.04 and 1,265.22 is: 1,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.72 : 5,846.04 = 1,265.22 : x
  2. Step 2: Convert to fraction form
    3,897.72/5,846.04 = 1,265.22/x
  3. Step 3: Cross multiply
    3,897.72x = 5,846.04 × 1,265.22
  4. Step 4: Simplify right side
    3,897.72x = 7,396,526.73
  5. Step 5: Solve for x
    x = 7,396,526.73/3,897.72
  6. Step 6: Final answer
    x = 1,897.65

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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.