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Finding the Fourth Proportional to 3,801.02, 5,701.13 and 1,027.52

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Solution

The fourth proportional to 3,801.02, 5,701.13 and 1,027.52 is: 1,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.02 : 5,701.13 = 1,027.52 : x
  2. Step 2: Convert to fraction form
    3,801.02/5,701.13 = 1,027.52/x
  3. Step 3: Cross multiply
    3,801.02x = 5,701.13 × 1,027.52
  4. Step 4: Simplify right side
    3,801.02x = 5,858,025.10
  5. Step 5: Solve for x
    x = 5,858,025.10/3,801.02
  6. Step 6: Final answer
    x = 1,541.17

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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.