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Finding the Fourth Proportional to 4,103.12, 5,667 and 3,748.16

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Solution

The fourth proportional to 4,103.12, 5,667 and 3,748.16 is: 5,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.12 : 5,667 = 3,748.16 : x
  2. Step 2: Convert to fraction form
    4,103.12/5,667 = 3,748.16/x
  3. Step 3: Cross multiply
    4,103.12x = 5,667 × 3,748.16
  4. Step 4: Simplify right side
    4,103.12x = 21,240,822.72
  5. Step 5: Solve for x
    x = 21,240,822.72/4,103.12
  6. Step 6: Final answer
    x = 5,176.75

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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.