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Finding the Fourth Proportional to 4,461.35, 6,692.13 and 1,499.83

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Solution

The fourth proportional to 4,461.35, 6,692.13 and 1,499.83 is: 2,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.35 : 6,692.13 = 1,499.83 : x
  2. Step 2: Convert to fraction form
    4,461.35/6,692.13 = 1,499.83/x
  3. Step 3: Cross multiply
    4,461.35x = 6,692.13 × 1,499.83
  4. Step 4: Simplify right side
    4,461.35x = 10,037,060.08
  5. Step 5: Solve for x
    x = 10,037,060.08/4,461.35
  6. Step 6: Final answer
    x = 2,249.78

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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.