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Finding the Fourth Proportional to 5,270.52, 7,906.98 and 1,807.56

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Solution

The fourth proportional to 5,270.52, 7,906.98 and 1,807.56 is: 2,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.52 : 7,906.98 = 1,807.56 : x
  2. Step 2: Convert to fraction form
    5,270.52/7,906.98 = 1,807.56/x
  3. Step 3: Cross multiply
    5,270.52x = 7,906.98 × 1,807.56
  4. Step 4: Simplify right side
    5,270.52x = 14,292,340.77
  5. Step 5: Solve for x
    x = 14,292,340.77/5,270.52
  6. Step 6: Final answer
    x = 2,711.75

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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.