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Finding the Fourth Proportional to 5,660.47, 7,811.43 and 3,142.58

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Solution

The fourth proportional to 5,660.47, 7,811.43 and 3,142.58 is: 4,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.47 : 7,811.43 = 3,142.58 : x
  2. Step 2: Convert to fraction form
    5,660.47/7,811.43 = 3,142.58/x
  3. Step 3: Cross multiply
    5,660.47x = 7,811.43 × 3,142.58
  4. Step 4: Simplify right side
    5,660.47x = 24,548,043.69
  5. Step 5: Solve for x
    x = 24,548,043.69/5,660.47
  6. Step 6: Final answer
    x = 4,336.75

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