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Finding the Fourth Proportional to 6,301.93, 8,695.63 and 3,649.57

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Solution

The fourth proportional to 6,301.93, 8,695.63 and 3,649.57 is: 5,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.93 : 8,695.63 = 3,649.57 : x
  2. Step 2: Convert to fraction form
    6,301.93/8,695.63 = 3,649.57/x
  3. Step 3: Cross multiply
    6,301.93x = 8,695.63 × 3,649.57
  4. Step 4: Simplify right side
    6,301.93x = 31,735,310.38
  5. Step 5: Solve for x
    x = 31,735,310.38/6,301.93
  6. Step 6: Final answer
    x = 5,035.81

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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.