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Finding the Fourth Proportional to 5,034.64, 6,947.32 and 2,796

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Solution

The fourth proportional to 5,034.64, 6,947.32 and 2,796 is: 3,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.64 : 6,947.32 = 2,796 : x
  2. Step 2: Convert to fraction form
    5,034.64/6,947.32 = 2,796/x
  3. Step 3: Cross multiply
    5,034.64x = 6,947.32 × 2,796
  4. Step 4: Simplify right side
    5,034.64x = 19,424,706.72
  5. Step 5: Solve for x
    x = 19,424,706.72/5,034.64
  6. Step 6: Final answer
    x = 3,858.21

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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.