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Finding the Fourth Proportional to 3,801.33, 5,697.14 and 1,607.04

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Solution

The fourth proportional to 3,801.33, 5,697.14 and 1,607.04 is: 2,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.33 : 5,697.14 = 1,607.04 : x
  2. Step 2: Convert to fraction form
    3,801.33/5,697.14 = 1,607.04/x
  3. Step 3: Cross multiply
    3,801.33x = 5,697.14 × 1,607.04
  4. Step 4: Simplify right side
    3,801.33x = 9,155,523.83
  5. Step 5: Solve for x
    x = 9,155,523.83/3,801.33
  6. Step 6: Final answer
    x = 2,408.51

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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.