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Finding the Fourth Proportional to 4,102.08, 6,135.84 and 3,698.16

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Solution

The fourth proportional to 4,102.08, 6,135.84 and 3,698.16 is: 5,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.08 : 6,135.84 = 3,698.16 : x
  2. Step 2: Convert to fraction form
    4,102.08/6,135.84 = 3,698.16/x
  3. Step 3: Cross multiply
    4,102.08x = 6,135.84 × 3,698.16
  4. Step 4: Simplify right side
    4,102.08x = 22,691,318.05
  5. Step 5: Solve for x
    x = 22,691,318.05/4,102.08
  6. Step 6: Final answer
    x = 5,531.66

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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.