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Finding the Fourth Proportional to 4,103, 5,662.14 and 2,240

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Solution

The fourth proportional to 4,103, 5,662.14 and 2,240 is: 3,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103 : 5,662.14 = 2,240 : x
  2. Step 2: Convert to fraction form
    4,103/5,662.14 = 2,240/x
  3. Step 3: Cross multiply
    4,103x = 5,662.14 × 2,240
  4. Step 4: Simplify right side
    4,103x = 12,683,193.60
  5. Step 5: Solve for x
    x = 12,683,193.60/4,103
  6. Step 6: Final answer
    x = 3,091.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.