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Finding the Fourth Proportional to 5,054.09, 6,974.64 and 2,816.46

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Solution

The fourth proportional to 5,054.09, 6,974.64 and 2,816.46 is: 3,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.09 : 6,974.64 = 2,816.46 : x
  2. Step 2: Convert to fraction form
    5,054.09/6,974.64 = 2,816.46/x
  3. Step 3: Cross multiply
    5,054.09x = 6,974.64 × 2,816.46
  4. Step 4: Simplify right side
    5,054.09x = 19,643,794.57
  5. Step 5: Solve for x
    x = 19,643,794.57/5,054.09
  6. Step 6: Final answer
    x = 3,886.72

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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.