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Finding the Fourth Proportional to 6,150.78, 8,484.90 and 4,162.05

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Solution

The fourth proportional to 6,150.78, 8,484.90 and 4,162.05 is: 5,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.78 : 8,484.90 = 4,162.05 : x
  2. Step 2: Convert to fraction form
    6,150.78/8,484.90 = 4,162.05/x
  3. Step 3: Cross multiply
    6,150.78x = 8,484.90 × 4,162.05
  4. Step 4: Simplify right side
    6,150.78x = 35,314,578.05
  5. Step 5: Solve for x
    x = 35,314,578.05/6,150.78
  6. Step 6: Final answer
    x = 5,741.48

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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.