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Finding the Fourth Proportional to 3,897.72, 5,855.22 and 3,033.72

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Solution

The fourth proportional to 3,897.72, 5,855.22 and 3,033.72 is: 4,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.72 : 5,855.22 = 3,033.72 : x
  2. Step 2: Convert to fraction form
    3,897.72/5,855.22 = 3,033.72/x
  3. Step 3: Cross multiply
    3,897.72x = 5,855.22 × 3,033.72
  4. Step 4: Simplify right side
    3,897.72x = 17,763,098.02
  5. Step 5: Solve for x
    x = 17,763,098.02/3,897.72
  6. Step 6: Final answer
    x = 4,557.30

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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.