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Finding the Fourth Proportional to 5,105.61, 7,657.49 and 1,773.88

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Solution

The fourth proportional to 5,105.61, 7,657.49 and 1,773.88 is: 2,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.61 : 7,657.49 = 1,773.88 : x
  2. Step 2: Convert to fraction form
    5,105.61/7,657.49 = 1,773.88/x
  3. Step 3: Cross multiply
    5,105.61x = 7,657.49 × 1,773.88
  4. Step 4: Simplify right side
    5,105.61x = 13,583,453.65
  5. Step 5: Solve for x
    x = 13,583,453.65/5,105.61
  6. Step 6: Final answer
    x = 2,660.50

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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.