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Finding the Fourth Proportional to 4,263.84, 6,399.72 and 2,185.33

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Solution

The fourth proportional to 4,263.84, 6,399.72 and 2,185.33 is: 3,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.84 : 6,399.72 = 2,185.33 : x
  2. Step 2: Convert to fraction form
    4,263.84/6,399.72 = 2,185.33/x
  3. Step 3: Cross multiply
    4,263.84x = 6,399.72 × 2,185.33
  4. Step 4: Simplify right side
    4,263.84x = 13,985,500.11
  5. Step 5: Solve for x
    x = 13,985,500.11/4,263.84
  6. Step 6: Final answer
    x = 3,280.02

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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.