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Finding the Fourth Proportional to 6,461.89, 8,918.38 and 3,945.47

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Solution

The fourth proportional to 6,461.89, 8,918.38 and 3,945.47 is: 5,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.89 : 8,918.38 = 3,945.47 : x
  2. Step 2: Convert to fraction form
    6,461.89/8,918.38 = 3,945.47/x
  3. Step 3: Cross multiply
    6,461.89x = 8,918.38 × 3,945.47
  4. Step 4: Simplify right side
    6,461.89x = 35,187,161.08
  5. Step 5: Solve for x
    x = 35,187,161.08/6,461.89
  6. Step 6: Final answer
    x = 5,445.34

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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.