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Finding the Fourth Proportional to 6,302.47, 8,697.24 and 3,649.81

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Solution

The fourth proportional to 6,302.47, 8,697.24 and 3,649.81 is: 5,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.47 : 8,697.24 = 3,649.81 : x
  2. Step 2: Convert to fraction form
    6,302.47/8,697.24 = 3,649.81/x
  3. Step 3: Cross multiply
    6,302.47x = 8,697.24 × 3,649.81
  4. Step 4: Simplify right side
    6,302.47x = 31,743,273.52
  5. Step 5: Solve for x
    x = 31,743,273.52/6,302.47
  6. Step 6: Final answer
    x = 5,036.64

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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.