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Finding the Fourth Proportional to 3,538.77, 4,883.54 and 2,213.25

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Solution

The fourth proportional to 3,538.77, 4,883.54 and 2,213.25 is: 3,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.77 : 4,883.54 = 2,213.25 : x
  2. Step 2: Convert to fraction form
    3,538.77/4,883.54 = 2,213.25/x
  3. Step 3: Cross multiply
    3,538.77x = 4,883.54 × 2,213.25
  4. Step 4: Simplify right side
    3,538.77x = 10,808,494.91
  5. Step 5: Solve for x
    x = 10,808,494.91/3,538.77
  6. Step 6: Final answer
    x = 3,054.31

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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.