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Finding the Fourth Proportional to 6,426.45, 8,857.89 and 4,301.21

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Solution

The fourth proportional to 6,426.45, 8,857.89 and 4,301.21 is: 5,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.45 : 8,857.89 = 4,301.21 : x
  2. Step 2: Convert to fraction form
    6,426.45/8,857.89 = 4,301.21/x
  3. Step 3: Cross multiply
    6,426.45x = 8,857.89 × 4,301.21
  4. Step 4: Simplify right side
    6,426.45x = 38,099,667.19
  5. Step 5: Solve for x
    x = 38,099,667.19/6,426.45
  6. Step 6: Final answer
    x = 5,928.57

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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.