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Finding the Fourth Proportional to 4,241.69, 5,853.57 and 2,353.40

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Solution

The fourth proportional to 4,241.69, 5,853.57 and 2,353.40 is: 3,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.69 : 5,853.57 = 2,353.40 : x
  2. Step 2: Convert to fraction form
    4,241.69/5,853.57 = 2,353.40/x
  3. Step 3: Cross multiply
    4,241.69x = 5,853.57 × 2,353.40
  4. Step 4: Simplify right side
    4,241.69x = 13,775,799.17
  5. Step 5: Solve for x
    x = 13,775,799.17/4,241.69
  6. Step 6: Final answer
    x = 3,247.71

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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.