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Finding the Fourth Proportional to 4,102.56, 5,661.63 and 2,239.56

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Solution

The fourth proportional to 4,102.56, 5,661.63 and 2,239.56 is: 3,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.56 : 5,661.63 = 2,239.56 : x
  2. Step 2: Convert to fraction form
    4,102.56/5,661.63 = 2,239.56/x
  3. Step 3: Cross multiply
    4,102.56x = 5,661.63 × 2,239.56
  4. Step 4: Simplify right side
    4,102.56x = 12,679,560.08
  5. Step 5: Solve for x
    x = 12,679,560.08/4,102.56
  6. Step 6: Final answer
    x = 3,090.65

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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.