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Finding the Fourth Proportional to 4,553.92, 6,829.53 and 1,956.25

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Solution

The fourth proportional to 4,553.92, 6,829.53 and 1,956.25 is: 2,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.92 : 6,829.53 = 1,956.25 : x
  2. Step 2: Convert to fraction form
    4,553.92/6,829.53 = 1,956.25/x
  3. Step 3: Cross multiply
    4,553.92x = 6,829.53 × 1,956.25
  4. Step 4: Simplify right side
    4,553.92x = 13,360,268.06
  5. Step 5: Solve for x
    x = 13,360,268.06/4,553.92
  6. Step 6: Final answer
    x = 2,933.80

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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.