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Finding the Fourth Proportional to 4,980.16, 6,872.78 and 2,742.14

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Solution

The fourth proportional to 4,980.16, 6,872.78 and 2,742.14 is: 3,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.16 : 6,872.78 = 2,742.14 : x
  2. Step 2: Convert to fraction form
    4,980.16/6,872.78 = 2,742.14/x
  3. Step 3: Cross multiply
    4,980.16x = 6,872.78 × 2,742.14
  4. Step 4: Simplify right side
    4,980.16x = 18,846,124.95
  5. Step 5: Solve for x
    x = 18,846,124.95/4,980.16
  6. Step 6: Final answer
    x = 3,784.24

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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.