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Finding the Fourth Proportional to 4,102.98, 5,662.13 and 2,240.02

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Solution

The fourth proportional to 4,102.98, 5,662.13 and 2,240.02 is: 3,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.98 : 5,662.13 = 2,240.02 : x
  2. Step 2: Convert to fraction form
    4,102.98/5,662.13 = 2,240.02/x
  3. Step 3: Cross multiply
    4,102.98x = 5,662.13 × 2,240.02
  4. Step 4: Simplify right side
    4,102.98x = 12,683,284.44
  5. Step 5: Solve for x
    x = 12,683,284.44/4,102.98
  6. Step 6: Final answer
    x = 3,091.24

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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.