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Finding the Fourth Proportional to 3,762.88, 5,195.34 and 2,347.12

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Solution

The fourth proportional to 3,762.88, 5,195.34 and 2,347.12 is: 3,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.88 : 5,195.34 = 2,347.12 : x
  2. Step 2: Convert to fraction form
    3,762.88/5,195.34 = 2,347.12/x
  3. Step 3: Cross multiply
    3,762.88x = 5,195.34 × 2,347.12
  4. Step 4: Simplify right side
    3,762.88x = 12,194,086.42
  5. Step 5: Solve for x
    x = 12,194,086.42/3,762.88
  6. Step 6: Final answer
    x = 3,240.63

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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.