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Finding the Fourth Proportional to 3,656.19, 5,476.99 and 2,266.23

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Solution

The fourth proportional to 3,656.19, 5,476.99 and 2,266.23 is: 3,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.19 : 5,476.99 = 2,266.23 : x
  2. Step 2: Convert to fraction form
    3,656.19/5,476.99 = 2,266.23/x
  3. Step 3: Cross multiply
    3,656.19x = 5,476.99 × 2,266.23
  4. Step 4: Simplify right side
    3,656.19x = 12,412,119.05
  5. Step 5: Solve for x
    x = 12,412,119.05/3,656.19
  6. Step 6: Final answer
    x = 3,394.82

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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.