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Finding the Fourth Proportional to 6,002.41, 8,986.67 and 3,184.87

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Solution

The fourth proportional to 6,002.41, 8,986.67 and 3,184.87 is: 4,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.41 : 8,986.67 = 3,184.87 : x
  2. Step 2: Convert to fraction form
    6,002.41/8,986.67 = 3,184.87/x
  3. Step 3: Cross multiply
    6,002.41x = 8,986.67 × 3,184.87
  4. Step 4: Simplify right side
    6,002.41x = 28,621,359.76
  5. Step 5: Solve for x
    x = 28,621,359.76/6,002.41
  6. Step 6: Final answer
    x = 4,768.31

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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.