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Finding the Fourth Proportional to 3,677.30, 5,507.85 and 3,266.90

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Solution

The fourth proportional to 3,677.30, 5,507.85 and 3,266.90 is: 4,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.30 : 5,507.85 = 3,266.90 : x
  2. Step 2: Convert to fraction form
    3,677.30/5,507.85 = 3,266.90/x
  3. Step 3: Cross multiply
    3,677.30x = 5,507.85 × 3,266.90
  4. Step 4: Simplify right side
    3,677.30x = 17,993,595.17
  5. Step 5: Solve for x
    x = 17,993,595.17/3,677.30
  6. Step 6: Final answer
    x = 4,893.15

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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.