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Finding the Fourth Proportional to 3,605.84, 5,409.24 and 1,266.08

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Solution

The fourth proportional to 3,605.84, 5,409.24 and 1,266.08 is: 1,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.84 : 5,409.24 = 1,266.08 : x
  2. Step 2: Convert to fraction form
    3,605.84/5,409.24 = 1,266.08/x
  3. Step 3: Cross multiply
    3,605.84x = 5,409.24 × 1,266.08
  4. Step 4: Simplify right side
    3,605.84x = 6,848,530.58
  5. Step 5: Solve for x
    x = 6,848,530.58/3,605.84
  6. Step 6: Final answer
    x = 1,899.29

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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.