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Finding the Fourth Proportional to 4,948.07, 6,828.24 and 2,709.84

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Solution

The fourth proportional to 4,948.07, 6,828.24 and 2,709.84 is: 3,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.07 : 6,828.24 = 2,709.84 : x
  2. Step 2: Convert to fraction form
    4,948.07/6,828.24 = 2,709.84/x
  3. Step 3: Cross multiply
    4,948.07x = 6,828.24 × 2,709.84
  4. Step 4: Simplify right side
    4,948.07x = 18,503,437.88
  5. Step 5: Solve for x
    x = 18,503,437.88/4,948.07
  6. Step 6: Final answer
    x = 3,739.53

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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.