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Finding the Fourth Proportional to 4,949.02, 6,829.76 and 2,711

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Solution

The fourth proportional to 4,949.02, 6,829.76 and 2,711 is: 3,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.02 : 6,829.76 = 2,711 : x
  2. Step 2: Convert to fraction form
    4,949.02/6,829.76 = 2,711/x
  3. Step 3: Cross multiply
    4,949.02x = 6,829.76 × 2,711
  4. Step 4: Simplify right side
    4,949.02x = 18,515,479.36
  5. Step 5: Solve for x
    x = 18,515,479.36/4,949.02
  6. Step 6: Final answer
    x = 3,741.24

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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.