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Finding the Fourth Proportional to 4,102.88, 5,661.76 and 2,239.84

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Solution

The fourth proportional to 4,102.88, 5,661.76 and 2,239.84 is: 3,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.88 : 5,661.76 = 2,239.84 : x
  2. Step 2: Convert to fraction form
    4,102.88/5,661.76 = 2,239.84/x
  3. Step 3: Cross multiply
    4,102.88x = 5,661.76 × 2,239.84
  4. Step 4: Simplify right side
    4,102.88x = 12,681,436.52
  5. Step 5: Solve for x
    x = 12,681,436.52/4,102.88
  6. Step 6: Final answer
    x = 3,090.86

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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.