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Finding the Fourth Proportional to 6,013.24, 8,299.02 and 3,655.24

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Solution

The fourth proportional to 6,013.24, 8,299.02 and 3,655.24 is: 5,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.24 : 8,299.02 = 3,655.24 : x
  2. Step 2: Convert to fraction form
    6,013.24/8,299.02 = 3,655.24/x
  3. Step 3: Cross multiply
    6,013.24x = 8,299.02 × 3,655.24
  4. Step 4: Simplify right side
    6,013.24x = 30,334,909.86
  5. Step 5: Solve for x
    x = 30,334,909.86/6,013.24
  6. Step 6: Final answer
    x = 5,044.69

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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.