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Finding the Fourth Proportional to 3,553.78, 4,904 and 2,041.59

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Solution

The fourth proportional to 3,553.78, 4,904 and 2,041.59 is: 2,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.78 : 4,904 = 2,041.59 : x
  2. Step 2: Convert to fraction form
    3,553.78/4,904 = 2,041.59/x
  3. Step 3: Cross multiply
    3,553.78x = 4,904 × 2,041.59
  4. Step 4: Simplify right side
    3,553.78x = 10,011,932.84
  5. Step 5: Solve for x
    x = 10,011,932.84/3,553.78
  6. Step 6: Final answer
    x = 2,817.26

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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.