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Finding the Fourth Proportional to 3,548.89, 4,897.10 and 2,057.28

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Solution

The fourth proportional to 3,548.89, 4,897.10 and 2,057.28 is: 2,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.89 : 4,897.10 = 2,057.28 : x
  2. Step 2: Convert to fraction form
    3,548.89/4,897.10 = 2,057.28/x
  3. Step 3: Cross multiply
    3,548.89x = 4,897.10 × 2,057.28
  4. Step 4: Simplify right side
    3,548.89x = 10,074,671.12
  5. Step 5: Solve for x
    x = 10,074,671.12/3,548.89
  6. Step 6: Final answer
    x = 2,838.82

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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.