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Finding the Fourth Proportional to 3,538.65, 4,885.07 and 2,213.09

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Solution

The fourth proportional to 3,538.65, 4,885.07 and 2,213.09 is: 3,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.65 : 4,885.07 = 2,213.09 : x
  2. Step 2: Convert to fraction form
    3,538.65/4,885.07 = 2,213.09/x
  3. Step 3: Cross multiply
    3,538.65x = 4,885.07 × 2,213.09
  4. Step 4: Simplify right side
    3,538.65x = 10,811,064.08
  5. Step 5: Solve for x
    x = 10,811,064.08/3,538.65
  6. Step 6: Final answer
    x = 3,055.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.