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Finding the Fourth Proportional to 4,649.67, 6,971.67 and 3,255.39

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Solution

The fourth proportional to 4,649.67, 6,971.67 and 3,255.39 is: 4,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.67 : 6,971.67 = 3,255.39 : x
  2. Step 2: Convert to fraction form
    4,649.67/6,971.67 = 3,255.39/x
  3. Step 3: Cross multiply
    4,649.67x = 6,971.67 × 3,255.39
  4. Step 4: Simplify right side
    4,649.67x = 22,695,504.80
  5. Step 5: Solve for x
    x = 22,695,504.80/4,649.67
  6. Step 6: Final answer
    x = 4,881.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.