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Finding the Fourth Proportional to 4,948.84, 6,826.02 and 2,852.20

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Solution

The fourth proportional to 4,948.84, 6,826.02 and 2,852.20 is: 3,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.84 : 6,826.02 = 2,852.20 : x
  2. Step 2: Convert to fraction form
    4,948.84/6,826.02 = 2,852.20/x
  3. Step 3: Cross multiply
    4,948.84x = 6,826.02 × 2,852.20
  4. Step 4: Simplify right side
    4,948.84x = 19,469,174.24
  5. Step 5: Solve for x
    x = 19,469,174.24/4,948.84
  6. Step 6: Final answer
    x = 3,934.09

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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.