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Finding the Fourth Proportional to 6,419.16, 8,859.92 and 3,767.42

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Solution

The fourth proportional to 6,419.16, 8,859.92 and 3,767.42 is: 5,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.16 : 8,859.92 = 3,767.42 : x
  2. Step 2: Convert to fraction form
    6,419.16/8,859.92 = 3,767.42/x
  3. Step 3: Cross multiply
    6,419.16x = 8,859.92 × 3,767.42
  4. Step 4: Simplify right side
    6,419.16x = 33,379,039.81
  5. Step 5: Solve for x
    x = 33,379,039.81/6,419.16
  6. Step 6: Final answer
    x = 5,199.91

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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.