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Finding the Fourth Proportional to 5,294.72, 7,942.44 and 1,784.96

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Solution

The fourth proportional to 5,294.72, 7,942.44 and 1,784.96 is: 2,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.72 : 7,942.44 = 1,784.96 : x
  2. Step 2: Convert to fraction form
    5,294.72/7,942.44 = 1,784.96/x
  3. Step 3: Cross multiply
    5,294.72x = 7,942.44 × 1,784.96
  4. Step 4: Simplify right side
    5,294.72x = 14,176,937.70
  5. Step 5: Solve for x
    x = 14,176,937.70/5,294.72
  6. Step 6: Final answer
    x = 2,677.56

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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.