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Finding the Fourth Proportional to 3,227.91, 4,835.04 and 1,840.53

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Solution

The fourth proportional to 3,227.91, 4,835.04 and 1,840.53 is: 2,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.91 : 4,835.04 = 1,840.53 : x
  2. Step 2: Convert to fraction form
    3,227.91/4,835.04 = 1,840.53/x
  3. Step 3: Cross multiply
    3,227.91x = 4,835.04 × 1,840.53
  4. Step 4: Simplify right side
    3,227.91x = 8,899,036.17
  5. Step 5: Solve for x
    x = 8,899,036.17/3,227.91
  6. Step 6: Final answer
    x = 2,756.90

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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.