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Finding the Fourth Proportional to 6,149.56, 8,483.16 and 4,160.80

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Solution

The fourth proportional to 6,149.56, 8,483.16 and 4,160.80 is: 5,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.56 : 8,483.16 = 4,160.80 : x
  2. Step 2: Convert to fraction form
    6,149.56/8,483.16 = 4,160.80/x
  3. Step 3: Cross multiply
    6,149.56x = 8,483.16 × 4,160.80
  4. Step 4: Simplify right side
    6,149.56x = 35,296,732.13
  5. Step 5: Solve for x
    x = 35,296,732.13/6,149.56
  6. Step 6: Final answer
    x = 5,739.72

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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.