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Finding the Fourth Proportional to 3,408.65, 5,108.55 and 1,533.16

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Solution

The fourth proportional to 3,408.65, 5,108.55 and 1,533.16 is: 2,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.65 : 5,108.55 = 1,533.16 : x
  2. Step 2: Convert to fraction form
    3,408.65/5,108.55 = 1,533.16/x
  3. Step 3: Cross multiply
    3,408.65x = 5,108.55 × 1,533.16
  4. Step 4: Simplify right side
    3,408.65x = 7,832,233.78
  5. Step 5: Solve for x
    x = 7,832,233.78/3,408.65
  6. Step 6: Final answer
    x = 2,297.75

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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.