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Finding the Fourth Proportional to 5,054.31, 6,974.78 and 2,929.88

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Solution

The fourth proportional to 5,054.31, 6,974.78 and 2,929.88 is: 4,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.31 : 6,974.78 = 2,929.88 : x
  2. Step 2: Convert to fraction form
    5,054.31/6,974.78 = 2,929.88/x
  3. Step 3: Cross multiply
    5,054.31x = 6,974.78 × 2,929.88
  4. Step 4: Simplify right side
    5,054.31x = 20,435,293.19
  5. Step 5: Solve for x
    x = 20,435,293.19/5,054.31
  6. Step 6: Final answer
    x = 4,043.14

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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.