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Finding the Fourth Proportional to 5,056.47, 6,977.97 and 2,932.44

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Solution

The fourth proportional to 5,056.47, 6,977.97 and 2,932.44 is: 4,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.47 : 6,977.97 = 2,932.44 : x
  2. Step 2: Convert to fraction form
    5,056.47/6,977.97 = 2,932.44/x
  3. Step 3: Cross multiply
    5,056.47x = 6,977.97 × 2,932.44
  4. Step 4: Simplify right side
    5,056.47x = 20,462,478.35
  5. Step 5: Solve for x
    x = 20,462,478.35/5,056.47
  6. Step 6: Final answer
    x = 4,046.79

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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.