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Finding the Fourth Proportional to 4,947.80, 6,828 and 2,851.92

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Solution

The fourth proportional to 4,947.80, 6,828 and 2,851.92 is: 3,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.80 : 6,828 = 2,851.92 : x
  2. Step 2: Convert to fraction form
    4,947.80/6,828 = 2,851.92/x
  3. Step 3: Cross multiply
    4,947.80x = 6,828 × 2,851.92
  4. Step 4: Simplify right side
    4,947.80x = 19,472,909.76
  5. Step 5: Solve for x
    x = 19,472,909.76/4,947.80
  6. Step 6: Final answer
    x = 3,935.67

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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.