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Finding the Fourth Proportional to 4,237.76, 5,847.88 and 2,349.23

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Solution

The fourth proportional to 4,237.76, 5,847.88 and 2,349.23 is: 3,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.76 : 5,847.88 = 2,349.23 : x
  2. Step 2: Convert to fraction form
    4,237.76/5,847.88 = 2,349.23/x
  3. Step 3: Cross multiply
    4,237.76x = 5,847.88 × 2,349.23
  4. Step 4: Simplify right side
    4,237.76x = 13,738,015.13
  5. Step 5: Solve for x
    x = 13,738,015.13/4,237.76
  6. Step 6: Final answer
    x = 3,241.81

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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.