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Finding the Fourth Proportional to 4,947.16, 6,826.98 and 2,851

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Solution

The fourth proportional to 4,947.16, 6,826.98 and 2,851 is: 3,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.16 : 6,826.98 = 2,851 : x
  2. Step 2: Convert to fraction form
    4,947.16/6,826.98 = 2,851/x
  3. Step 3: Cross multiply
    4,947.16x = 6,826.98 × 2,851
  4. Step 4: Simplify right side
    4,947.16x = 19,463,719.98
  5. Step 5: Solve for x
    x = 19,463,719.98/4,947.16
  6. Step 6: Final answer
    x = 3,934.32

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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.