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Finding the Fourth Proportional to 5,054.08, 6,974.72 and 2,816

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Solution

The fourth proportional to 5,054.08, 6,974.72 and 2,816 is: 3,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.08 : 6,974.72 = 2,816 : x
  2. Step 2: Convert to fraction form
    5,054.08/6,974.72 = 2,816/x
  3. Step 3: Cross multiply
    5,054.08x = 6,974.72 × 2,816
  4. Step 4: Simplify right side
    5,054.08x = 19,640,811.52
  5. Step 5: Solve for x
    x = 19,640,811.52/5,054.08
  6. Step 6: Final answer
    x = 3,886.13

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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.