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Finding the Fourth Proportional to 3,294.72, 4,944.96 and 1,563.84

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Solution

The fourth proportional to 3,294.72, 4,944.96 and 1,563.84 is: 2,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.72 : 4,944.96 = 1,563.84 : x
  2. Step 2: Convert to fraction form
    3,294.72/4,944.96 = 1,563.84/x
  3. Step 3: Cross multiply
    3,294.72x = 4,944.96 × 1,563.84
  4. Step 4: Simplify right side
    3,294.72x = 7,733,126.25
  5. Step 5: Solve for x
    x = 7,733,126.25/3,294.72
  6. Step 6: Final answer
    x = 2,347.13

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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.