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Finding the Fourth Proportional to 6,149.78, 8,483.52 and 4,161.06

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Solution

The fourth proportional to 6,149.78, 8,483.52 and 4,161.06 is: 5,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.78 : 8,483.52 = 4,161.06 : x
  2. Step 2: Convert to fraction form
    6,149.78/8,483.52 = 4,161.06/x
  3. Step 3: Cross multiply
    6,149.78x = 8,483.52 × 4,161.06
  4. Step 4: Simplify right side
    6,149.78x = 35,300,435.73
  5. Step 5: Solve for x
    x = 35,300,435.73/6,149.78
  6. Step 6: Final answer
    x = 5,740.11

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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.