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Finding the Fourth Proportional to 6,268.14, 8,649.70 and 3,615.39

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Solution

The fourth proportional to 6,268.14, 8,649.70 and 3,615.39 is: 4,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.14 : 8,649.70 = 3,615.39 : x
  2. Step 2: Convert to fraction form
    6,268.14/8,649.70 = 3,615.39/x
  3. Step 3: Cross multiply
    6,268.14x = 8,649.70 × 3,615.39
  4. Step 4: Simplify right side
    6,268.14x = 31,272,038.88
  5. Step 5: Solve for x
    x = 31,272,038.88/6,268.14
  6. Step 6: Final answer
    x = 4,989.05

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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.