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Finding the Fourth Proportional to 5,263.62, 7,896.81 and 1,565.88

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Solution

The fourth proportional to 5,263.62, 7,896.81 and 1,565.88 is: 2,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.62 : 7,896.81 = 1,565.88 : x
  2. Step 2: Convert to fraction form
    5,263.62/7,896.81 = 1,565.88/x
  3. Step 3: Cross multiply
    5,263.62x = 7,896.81 × 1,565.88
  4. Step 4: Simplify right side
    5,263.62x = 12,365,456.84
  5. Step 5: Solve for x
    x = 12,365,456.84/5,263.62
  6. Step 6: Final answer
    x = 2,349.23

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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.