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Finding the Fourth Proportional to 4,241.57, 6,358.10 and 2,778.71

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Solution

The fourth proportional to 4,241.57, 6,358.10 and 2,778.71 is: 4,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.57 : 6,358.10 = 2,778.71 : x
  2. Step 2: Convert to fraction form
    4,241.57/6,358.10 = 2,778.71/x
  3. Step 3: Cross multiply
    4,241.57x = 6,358.10 × 2,778.71
  4. Step 4: Simplify right side
    4,241.57x = 17,667,270.37
  5. Step 5: Solve for x
    x = 17,667,270.37/4,241.57
  6. Step 6: Final answer
    x = 4,165.27

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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.