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Finding the Fourth Proportional to 5,542.72, 8,313.30 and 2,464

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Solution

The fourth proportional to 5,542.72, 8,313.30 and 2,464 is: 3,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.72 : 8,313.30 = 2,464 : x
  2. Step 2: Convert to fraction form
    5,542.72/8,313.30 = 2,464/x
  3. Step 3: Cross multiply
    5,542.72x = 8,313.30 × 2,464
  4. Step 4: Simplify right side
    5,542.72x = 20,483,971.20
  5. Step 5: Solve for x
    x = 20,483,971.20/5,542.72
  6. Step 6: Final answer
    x = 3,695.65

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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.