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Finding the Fourth Proportional to 5,672.76, 7,822.71 and 3,784.38

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Solution

The fourth proportional to 5,672.76, 7,822.71 and 3,784.38 is: 5,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.76 : 7,822.71 = 3,784.38 : x
  2. Step 2: Convert to fraction form
    5,672.76/7,822.71 = 3,784.38/x
  3. Step 3: Cross multiply
    5,672.76x = 7,822.71 × 3,784.38
  4. Step 4: Simplify right side
    5,672.76x = 29,604,107.27
  5. Step 5: Solve for x
    x = 29,604,107.27/5,672.76
  6. Step 6: Final answer
    x = 5,218.64

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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.