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Finding the Fourth Proportional to 3,897.92, 5,379 and 2,325.20

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Solution

The fourth proportional to 3,897.92, 5,379 and 2,325.20 is: 3,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.92 : 5,379 = 2,325.20 : x
  2. Step 2: Convert to fraction form
    3,897.92/5,379 = 2,325.20/x
  3. Step 3: Cross multiply
    3,897.92x = 5,379 × 2,325.20
  4. Step 4: Simplify right side
    3,897.92x = 12,507,250.80
  5. Step 5: Solve for x
    x = 12,507,250.80/3,897.92
  6. Step 6: Final answer
    x = 3,208.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.