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Finding the Fourth Proportional to 3,704.16, 5,109.24 and 2,379.48

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Solution

The fourth proportional to 3,704.16, 5,109.24 and 2,379.48 is: 3,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.16 : 5,109.24 = 2,379.48 : x
  2. Step 2: Convert to fraction form
    3,704.16/5,109.24 = 2,379.48/x
  3. Step 3: Cross multiply
    3,704.16x = 5,109.24 × 2,379.48
  4. Step 4: Simplify right side
    3,704.16x = 12,157,334.40
  5. Step 5: Solve for x
    x = 12,157,334.40/3,704.16
  6. Step 6: Final answer
    x = 3,282.08

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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.