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Finding the Fourth Proportional to 3,683.48, 5,082.72 and 2,267.90

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Solution

The fourth proportional to 3,683.48, 5,082.72 and 2,267.90 is: 3,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.48 : 5,082.72 = 2,267.90 : x
  2. Step 2: Convert to fraction form
    3,683.48/5,082.72 = 2,267.90/x
  3. Step 3: Cross multiply
    3,683.48x = 5,082.72 × 2,267.90
  4. Step 4: Simplify right side
    3,683.48x = 11,527,100.69
  5. Step 5: Solve for x
    x = 11,527,100.69/3,683.48
  6. Step 6: Final answer
    x = 3,129.40

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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.