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Finding the Fourth Proportional to 3,307.69, 4,563.89 and 1,909.63

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Solution

The fourth proportional to 3,307.69, 4,563.89 and 1,909.63 is: 2,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.69 : 4,563.89 = 1,909.63 : x
  2. Step 2: Convert to fraction form
    3,307.69/4,563.89 = 1,909.63/x
  3. Step 3: Cross multiply
    3,307.69x = 4,563.89 × 1,909.63
  4. Step 4: Simplify right side
    3,307.69x = 8,715,318.44
  5. Step 5: Solve for x
    x = 8,715,318.44/3,307.69
  6. Step 6: Final answer
    x = 2,634.87

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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.