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Finding the Fourth Proportional to 5,306.52, 7,956.98 and 1,795.32

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Solution

The fourth proportional to 5,306.52, 7,956.98 and 1,795.32 is: 2,692.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.52 : 7,956.98 = 1,795.32 : x
  2. Step 2: Convert to fraction form
    5,306.52/7,956.98 = 1,795.32/x
  3. Step 3: Cross multiply
    5,306.52x = 7,956.98 × 1,795.32
  4. Step 4: Simplify right side
    5,306.52x = 14,285,325.33
  5. Step 5: Solve for x
    x = 14,285,325.33/5,306.52
  6. Step 6: Final answer
    x = 2,692.03

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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.