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Finding the Fourth Proportional to 5,286.42, 7,295.94 and 4,241.52

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Solution

The fourth proportional to 5,286.42, 7,295.94 and 4,241.52 is: 5,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.42 : 7,295.94 = 4,241.52 : x
  2. Step 2: Convert to fraction form
    5,286.42/7,295.94 = 4,241.52/x
  3. Step 3: Cross multiply
    5,286.42x = 7,295.94 × 4,241.52
  4. Step 4: Simplify right side
    5,286.42x = 30,945,875.43
  5. Step 5: Solve for x
    x = 30,945,875.43/5,286.42
  6. Step 6: Final answer
    x = 5,853.84

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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.