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Finding the Fourth Proportional to 3,548.94, 4,896.48 and 2,056.78

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Solution

The fourth proportional to 3,548.94, 4,896.48 and 2,056.78 is: 2,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.94 : 4,896.48 = 2,056.78 : x
  2. Step 2: Convert to fraction form
    3,548.94/4,896.48 = 2,056.78/x
  3. Step 3: Cross multiply
    3,548.94x = 4,896.48 × 2,056.78
  4. Step 4: Simplify right side
    3,548.94x = 10,070,982.13
  5. Step 5: Solve for x
    x = 10,070,982.13/3,548.94
  6. Step 6: Final answer
    x = 2,837.74

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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.