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Finding the Fourth Proportional to 3,499.76, 5,251.64 and 1,857.80

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Solution

The fourth proportional to 3,499.76, 5,251.64 and 1,857.80 is: 2,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.76 : 5,251.64 = 1,857.80 : x
  2. Step 2: Convert to fraction form
    3,499.76/5,251.64 = 1,857.80/x
  3. Step 3: Cross multiply
    3,499.76x = 5,251.64 × 1,857.80
  4. Step 4: Simplify right side
    3,499.76x = 9,756,496.79
  5. Step 5: Solve for x
    x = 9,756,496.79/3,499.76
  6. Step 6: Final answer
    x = 2,787.76

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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.