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Finding the Fourth Proportional to 5,651.53, 7,798.39 and 3,133.62

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Solution

The fourth proportional to 5,651.53, 7,798.39 and 3,133.62 is: 4,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.53 : 7,798.39 = 3,133.62 : x
  2. Step 2: Convert to fraction form
    5,651.53/7,798.39 = 3,133.62/x
  3. Step 3: Cross multiply
    5,651.53x = 7,798.39 × 3,133.62
  4. Step 4: Simplify right side
    5,651.53x = 24,437,190.87
  5. Step 5: Solve for x
    x = 24,437,190.87/5,651.53
  6. Step 6: Final answer
    x = 4,324.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.