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Finding the Fourth Proportional to 3,548.78, 4,896.88 and 2,056.49

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Solution

The fourth proportional to 3,548.78, 4,896.88 and 2,056.49 is: 2,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.78 : 4,896.88 = 2,056.49 : x
  2. Step 2: Convert to fraction form
    3,548.78/4,896.88 = 2,056.49/x
  3. Step 3: Cross multiply
    3,548.78x = 4,896.88 × 2,056.49
  4. Step 4: Simplify right side
    3,548.78x = 10,070,384.75
  5. Step 5: Solve for x
    x = 10,070,384.75/3,548.78
  6. Step 6: Final answer
    x = 2,837.70

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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.