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Finding the Fourth Proportional to 4,241.60, 5,853.42 and 2,353.22

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Solution

The fourth proportional to 4,241.60, 5,853.42 and 2,353.22 is: 3,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.60 : 5,853.42 = 2,353.22 : x
  2. Step 2: Convert to fraction form
    4,241.60/5,853.42 = 2,353.22/x
  3. Step 3: Cross multiply
    4,241.60x = 5,853.42 × 2,353.22
  4. Step 4: Simplify right side
    4,241.60x = 13,774,343.98
  5. Step 5: Solve for x
    x = 13,774,343.98/4,241.60
  6. Step 6: Final answer
    x = 3,247.44

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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.