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Finding the Fourth Proportional to 6,201.78, 8,554.05 and 4,108.74

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Solution

The fourth proportional to 6,201.78, 8,554.05 and 4,108.74 is: 5,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.78 : 8,554.05 = 4,108.74 : x
  2. Step 2: Convert to fraction form
    6,201.78/8,554.05 = 4,108.74/x
  3. Step 3: Cross multiply
    6,201.78x = 8,554.05 × 4,108.74
  4. Step 4: Simplify right side
    6,201.78x = 35,146,367.40
  5. Step 5: Solve for x
    x = 35,146,367.40/6,201.78
  6. Step 6: Final answer
    x = 5,667.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.