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Finding the Fourth Proportional to 3,537.78, 4,882.02 and 2,045.55

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Solution

The fourth proportional to 3,537.78, 4,882.02 and 2,045.55 is: 2,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.78 : 4,882.02 = 2,045.55 : x
  2. Step 2: Convert to fraction form
    3,537.78/4,882.02 = 2,045.55/x
  3. Step 3: Cross multiply
    3,537.78x = 4,882.02 × 2,045.55
  4. Step 4: Simplify right side
    3,537.78x = 9,986,416.01
  5. Step 5: Solve for x
    x = 9,986,416.01/3,537.78
  6. Step 6: Final answer
    x = 2,822.79

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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.