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Finding the Fourth Proportional to 5,661.58, 7,812.72 and 3,143.85

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Solution

The fourth proportional to 5,661.58, 7,812.72 and 3,143.85 is: 4,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.58 : 7,812.72 = 3,143.85 : x
  2. Step 2: Convert to fraction form
    5,661.58/7,812.72 = 3,143.85/x
  3. Step 3: Cross multiply
    5,661.58x = 7,812.72 × 3,143.85
  4. Step 4: Simplify right side
    5,661.58x = 24,561,985.45
  5. Step 5: Solve for x
    x = 24,561,985.45/5,661.58
  6. Step 6: Final answer
    x = 4,338.36

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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.