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Finding the Fourth Proportional to 4,909.49, 6,774.98 and 2,671.37

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Solution

The fourth proportional to 4,909.49, 6,774.98 and 2,671.37 is: 3,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.49 : 6,774.98 = 2,671.37 : x
  2. Step 2: Convert to fraction form
    4,909.49/6,774.98 = 2,671.37/x
  3. Step 3: Cross multiply
    4,909.49x = 6,774.98 × 2,671.37
  4. Step 4: Simplify right side
    4,909.49x = 18,098,451.13
  5. Step 5: Solve for x
    x = 18,098,451.13/4,909.49
  6. Step 6: Final answer
    x = 3,686.42

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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.