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Finding the Fourth Proportional to 4,138.55, 5,709.76 and 2,647.34

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Solution

The fourth proportional to 4,138.55, 5,709.76 and 2,647.34 is: 3,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.55 : 5,709.76 = 2,647.34 : x
  2. Step 2: Convert to fraction form
    4,138.55/5,709.76 = 2,647.34/x
  3. Step 3: Cross multiply
    4,138.55x = 5,709.76 × 2,647.34
  4. Step 4: Simplify right side
    4,138.55x = 15,115,640.87
  5. Step 5: Solve for x
    x = 15,115,640.87/4,138.55
  6. Step 6: Final answer
    x = 3,652.40

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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.