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Finding the Fourth Proportional to 6,201.23, 8,557.85 and 3,549.49

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Solution

The fourth proportional to 6,201.23, 8,557.85 and 3,549.49 is: 4,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.23 : 8,557.85 = 3,549.49 : x
  2. Step 2: Convert to fraction form
    6,201.23/8,557.85 = 3,549.49/x
  3. Step 3: Cross multiply
    6,201.23x = 8,557.85 × 3,549.49
  4. Step 4: Simplify right side
    6,201.23x = 30,376,009.26
  5. Step 5: Solve for x
    x = 30,376,009.26/6,201.23
  6. Step 6: Final answer
    x = 4,898.39

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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.