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Finding the Fourth Proportional to 3,900, 5,850 and 2,437.20

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Solution

The fourth proportional to 3,900, 5,850 and 2,437.20 is: 3,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900 : 5,850 = 2,437.20 : x
  2. Step 2: Convert to fraction form
    3,900/5,850 = 2,437.20/x
  3. Step 3: Cross multiply
    3,900x = 5,850 × 2,437.20
  4. Step 4: Simplify right side
    3,900x = 14,257,620.00
  5. Step 5: Solve for x
    x = 14,257,620.00/3,900
  6. Step 6: Final answer
    x = 3,655.80

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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.