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Finding the Fourth Proportional to 5,851.83, 8,768.02 and 4,116.81

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Solution

The fourth proportional to 5,851.83, 8,768.02 and 4,116.81 is: 6,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.83 : 8,768.02 = 4,116.81 : x
  2. Step 2: Convert to fraction form
    5,851.83/8,768.02 = 4,116.81/x
  3. Step 3: Cross multiply
    5,851.83x = 8,768.02 × 4,116.81
  4. Step 4: Simplify right side
    5,851.83x = 36,096,272.42
  5. Step 5: Solve for x
    x = 36,096,272.42/5,851.83
  6. Step 6: Final answer
    x = 6,168.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.