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Finding the Fourth Proportional to 4,896.84, 7,346.70 and 4,209.96

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Solution

The fourth proportional to 4,896.84, 7,346.70 and 4,209.96 is: 6,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.84 : 7,346.70 = 4,209.96 : x
  2. Step 2: Convert to fraction form
    4,896.84/7,346.70 = 4,209.96/x
  3. Step 3: Cross multiply
    4,896.84x = 7,346.70 × 4,209.96
  4. Step 4: Simplify right side
    4,896.84x = 30,929,313.13
  5. Step 5: Solve for x
    x = 30,929,313.13/4,896.84
  6. Step 6: Final answer
    x = 6,316.18

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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.