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Finding the Fourth Proportional to 3,656.93, 5,474.84 and 2,266.07

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Solution

The fourth proportional to 3,656.93, 5,474.84 and 2,266.07 is: 3,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.93 : 5,474.84 = 2,266.07 : x
  2. Step 2: Convert to fraction form
    3,656.93/5,474.84 = 2,266.07/x
  3. Step 3: Cross multiply
    3,656.93x = 5,474.84 × 2,266.07
  4. Step 4: Simplify right side
    3,656.93x = 12,406,331.97
  5. Step 5: Solve for x
    x = 12,406,331.97/3,656.93
  6. Step 6: Final answer
    x = 3,392.56

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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.