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Finding the Fourth Proportional to 3,758.54, 5,637.89 and 985.30

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Solution

The fourth proportional to 3,758.54, 5,637.89 and 985.30 is: 1,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.54 : 5,637.89 = 985.30 : x
  2. Step 2: Convert to fraction form
    3,758.54/5,637.89 = 985.30/x
  3. Step 3: Cross multiply
    3,758.54x = 5,637.89 × 985.30
  4. Step 4: Simplify right side
    3,758.54x = 5,555,013.02
  5. Step 5: Solve for x
    x = 5,555,013.02/3,758.54
  6. Step 6: Final answer
    x = 1,477.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.