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Finding the Fourth Proportional to 6,017.87, 8,287.44 and 5,642.84

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Solution

The fourth proportional to 6,017.87, 8,287.44 and 5,642.84 is: 7,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017.87 : 8,287.44 = 5,642.84 : x
  2. Step 2: Convert to fraction form
    6,017.87/8,287.44 = 5,642.84/x
  3. Step 3: Cross multiply
    6,017.87x = 8,287.44 × 5,642.84
  4. Step 4: Simplify right side
    6,017.87x = 46,764,697.93
  5. Step 5: Solve for x
    x = 46,764,697.93/6,017.87
  6. Step 6: Final answer
    x = 7,770.97

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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.