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Finding the Fourth Proportional to 4,909.84, 6,776.25 and 3,338.44

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Solution

The fourth proportional to 4,909.84, 6,776.25 and 3,338.44 is: 4,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.84 : 6,776.25 = 3,338.44 : x
  2. Step 2: Convert to fraction form
    4,909.84/6,776.25 = 3,338.44/x
  3. Step 3: Cross multiply
    4,909.84x = 6,776.25 × 3,338.44
  4. Step 4: Simplify right side
    4,909.84x = 22,622,104.05
  5. Step 5: Solve for x
    x = 22,622,104.05/4,909.84
  6. Step 6: Final answer
    x = 4,607.50

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