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Finding the Fourth Proportional to 3,511.80, 5,267.70 and 3,349.80

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Solution

The fourth proportional to 3,511.80, 5,267.70 and 3,349.80 is: 5,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.80 : 5,267.70 = 3,349.80 : x
  2. Step 2: Convert to fraction form
    3,511.80/5,267.70 = 3,349.80/x
  3. Step 3: Cross multiply
    3,511.80x = 5,267.70 × 3,349.80
  4. Step 4: Simplify right side
    3,511.80x = 17,645,741.46
  5. Step 5: Solve for x
    x = 17,645,741.46/3,511.80
  6. Step 6: Final answer
    x = 5,024.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.