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Finding the Fourth Proportional to 4,896.96, 7,341 and 1,776.24

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Solution

The fourth proportional to 4,896.96, 7,341 and 1,776.24 is: 2,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.96 : 7,341 = 1,776.24 : x
  2. Step 2: Convert to fraction form
    4,896.96/7,341 = 1,776.24/x
  3. Step 3: Cross multiply
    4,896.96x = 7,341 × 1,776.24
  4. Step 4: Simplify right side
    4,896.96x = 13,039,377.84
  5. Step 5: Solve for x
    x = 13,039,377.84/4,896.96
  6. Step 6: Final answer
    x = 2,662.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.