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Finding the Fourth Proportional to 4,163.84, 6,247.80 and 2,316.32

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Solution

The fourth proportional to 4,163.84, 6,247.80 and 2,316.32 is: 3,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.84 : 6,247.80 = 2,316.32 : x
  2. Step 2: Convert to fraction form
    4,163.84/6,247.80 = 2,316.32/x
  3. Step 3: Cross multiply
    4,163.84x = 6,247.80 × 2,316.32
  4. Step 4: Simplify right side
    4,163.84x = 14,471,904.10
  5. Step 5: Solve for x
    x = 14,471,904.10/4,163.84
  6. Step 6: Final answer
    x = 3,475.61

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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.