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Finding the Fourth Proportional to 3,814.76, 5,721.18 and 1,216.36

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Solution

The fourth proportional to 3,814.76, 5,721.18 and 1,216.36 is: 1,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.76 : 5,721.18 = 1,216.36 : x
  2. Step 2: Convert to fraction form
    3,814.76/5,721.18 = 1,216.36/x
  3. Step 3: Cross multiply
    3,814.76x = 5,721.18 × 1,216.36
  4. Step 4: Simplify right side
    3,814.76x = 6,959,014.50
  5. Step 5: Solve for x
    x = 6,959,014.50/3,814.76
  6. Step 6: Final answer
    x = 1,824.23

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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.