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Finding the Fourth Proportional to 4,405, 6,078.90 and 2,542

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Solution

The fourth proportional to 4,405, 6,078.90 and 2,542 is: 3,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405 : 6,078.90 = 2,542 : x
  2. Step 2: Convert to fraction form
    4,405/6,078.90 = 2,542/x
  3. Step 3: Cross multiply
    4,405x = 6,078.90 × 2,542
  4. Step 4: Simplify right side
    4,405x = 15,452,563.80
  5. Step 5: Solve for x
    x = 15,452,563.80/4,405
  6. Step 6: Final answer
    x = 3,507.96

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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.