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Finding the Fourth Proportional to 4,102.96, 5,662.12 and 2,240.08

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Solution

The fourth proportional to 4,102.96, 5,662.12 and 2,240.08 is: 3,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.96 : 5,662.12 = 2,240.08 : x
  2. Step 2: Convert to fraction form
    4,102.96/5,662.12 = 2,240.08/x
  3. Step 3: Cross multiply
    4,102.96x = 5,662.12 × 2,240.08
  4. Step 4: Simplify right side
    4,102.96x = 12,683,601.77
  5. Step 5: Solve for x
    x = 12,683,601.77/4,102.96
  6. Step 6: Final answer
    x = 3,091.33

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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.