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Finding the Fourth Proportional to 4,980.82, 6,873.58 and 2,742.78

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Solution

The fourth proportional to 4,980.82, 6,873.58 and 2,742.78 is: 3,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.82 : 6,873.58 = 2,742.78 : x
  2. Step 2: Convert to fraction form
    4,980.82/6,873.58 = 2,742.78/x
  3. Step 3: Cross multiply
    4,980.82x = 6,873.58 × 2,742.78
  4. Step 4: Simplify right side
    4,980.82x = 18,852,669.67
  5. Step 5: Solve for x
    x = 18,852,669.67/4,980.82
  6. Step 6: Final answer
    x = 3,785.06

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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.