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Finding the Fourth Proportional to 3,549.44, 4,886.40 and 3,257.60

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Solution

The fourth proportional to 3,549.44, 4,886.40 and 3,257.60 is: 4,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.44 : 4,886.40 = 3,257.60 : x
  2. Step 2: Convert to fraction form
    3,549.44/4,886.40 = 3,257.60/x
  3. Step 3: Cross multiply
    3,549.44x = 4,886.40 × 3,257.60
  4. Step 4: Simplify right side
    3,549.44x = 15,917,936.64
  5. Step 5: Solve for x
    x = 15,917,936.64/3,549.44
  6. Step 6: Final answer
    x = 4,484.63

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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.