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Finding the Fourth Proportional to 3,897.92, 5,846.72 and 2,165.44

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Solution

The fourth proportional to 3,897.92, 5,846.72 and 2,165.44 is: 3,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.92 : 5,846.72 = 2,165.44 : x
  2. Step 2: Convert to fraction form
    3,897.92/5,846.72 = 2,165.44/x
  3. Step 3: Cross multiply
    3,897.92x = 5,846.72 × 2,165.44
  4. Step 4: Simplify right side
    3,897.92x = 12,660,721.36
  5. Step 5: Solve for x
    x = 12,660,721.36/3,897.92
  6. Step 6: Final answer
    x = 3,248.07

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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.