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Finding the Fourth Proportional to 6,002.55, 8,282.49 and 3,880.99

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Solution

The fourth proportional to 6,002.55, 8,282.49 and 3,880.99 is: 5,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.55 : 8,282.49 = 3,880.99 : x
  2. Step 2: Convert to fraction form
    6,002.55/8,282.49 = 3,880.99/x
  3. Step 3: Cross multiply
    6,002.55x = 8,282.49 × 3,880.99
  4. Step 4: Simplify right side
    6,002.55x = 32,144,235.82
  5. Step 5: Solve for x
    x = 32,144,235.82/6,002.55
  6. Step 6: Final answer
    x = 5,355.10

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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.