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Finding the Fourth Proportional to 6,301.94, 8,697.17 and 3,649.39

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Solution

The fourth proportional to 6,301.94, 8,697.17 and 3,649.39 is: 5,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.94 : 8,697.17 = 3,649.39 : x
  2. Step 2: Convert to fraction form
    6,301.94/8,697.17 = 3,649.39/x
  3. Step 3: Cross multiply
    6,301.94x = 8,697.17 × 3,649.39
  4. Step 4: Simplify right side
    6,301.94x = 31,739,352.61
  5. Step 5: Solve for x
    x = 31,739,352.61/6,301.94
  6. Step 6: Final answer
    x = 5,036.45

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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.