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Finding the Fourth Proportional to 4,948.04, 6,828 and 2,709.47

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Solution

The fourth proportional to 4,948.04, 6,828 and 2,709.47 is: 3,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.04 : 6,828 = 2,709.47 : x
  2. Step 2: Convert to fraction form
    4,948.04/6,828 = 2,709.47/x
  3. Step 3: Cross multiply
    4,948.04x = 6,828 × 2,709.47
  4. Step 4: Simplify right side
    4,948.04x = 18,500,227.02
  5. Step 5: Solve for x
    x = 18,500,227.02/4,948.04
  6. Step 6: Final answer
    x = 3,738.90

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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.