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Finding the Fourth Proportional to 5,699.48, 8,542.68 and 2,615

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Solution

The fourth proportional to 5,699.48, 8,542.68 and 2,615 is: 3,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.48 : 8,542.68 = 2,615 : x
  2. Step 2: Convert to fraction form
    5,699.48/8,542.68 = 2,615/x
  3. Step 3: Cross multiply
    5,699.48x = 8,542.68 × 2,615
  4. Step 4: Simplify right side
    5,699.48x = 22,339,108.20
  5. Step 5: Solve for x
    x = 22,339,108.20/5,699.48
  6. Step 6: Final answer
    x = 3,919.50

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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.