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Finding the Fourth Proportional to 4,980.17, 6,872.58 and 2,742

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Solution

The fourth proportional to 4,980.17, 6,872.58 and 2,742 is: 3,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.17 : 6,872.58 = 2,742 : x
  2. Step 2: Convert to fraction form
    4,980.17/6,872.58 = 2,742/x
  3. Step 3: Cross multiply
    4,980.17x = 6,872.58 × 2,742
  4. Step 4: Simplify right side
    4,980.17x = 18,844,600.65
  5. Step 5: Solve for x
    x = 18,844,600.65/4,980.17
  6. Step 6: Final answer
    x = 3,783.93

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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.