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Finding the Fourth Proportional to 5,420.07, 8,129.99 and 2,498.37

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Solution

The fourth proportional to 5,420.07, 8,129.99 and 2,498.37 is: 3,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.07 : 8,129.99 = 2,498.37 : x
  2. Step 2: Convert to fraction form
    5,420.07/8,129.99 = 2,498.37/x
  3. Step 3: Cross multiply
    5,420.07x = 8,129.99 × 2,498.37
  4. Step 4: Simplify right side
    5,420.07x = 20,311,723.12
  5. Step 5: Solve for x
    x = 20,311,723.12/5,420.07
  6. Step 6: Final answer
    x = 3,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.