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Finding the Fourth Proportional to 5,287.62, 7,930.81 and 1,777.48

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Solution

The fourth proportional to 5,287.62, 7,930.81 and 1,777.48 is: 2,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.62 : 7,930.81 = 1,777.48 : x
  2. Step 2: Convert to fraction form
    5,287.62/7,930.81 = 1,777.48/x
  3. Step 3: Cross multiply
    5,287.62x = 7,930.81 × 1,777.48
  4. Step 4: Simplify right side
    5,287.62x = 14,096,856.16
  5. Step 5: Solve for x
    x = 14,096,856.16/5,287.62
  6. Step 6: Final answer
    x = 2,666.01

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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.