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Finding the Fourth Proportional to 3,899.98, 5,849.76 and 1,267.63

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Solution

The fourth proportional to 3,899.98, 5,849.76 and 1,267.63 is: 1,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.98 : 5,849.76 = 1,267.63 : x
  2. Step 2: Convert to fraction form
    3,899.98/5,849.76 = 1,267.63/x
  3. Step 3: Cross multiply
    3,899.98x = 5,849.76 × 1,267.63
  4. Step 4: Simplify right side
    3,899.98x = 7,415,331.27
  5. Step 5: Solve for x
    x = 7,415,331.27/3,899.98
  6. Step 6: Final answer
    x = 1,901.38

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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.