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Finding the Fourth Proportional to 4,968.68, 7,446.52 and 2,049.16

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Solution

The fourth proportional to 4,968.68, 7,446.52 and 2,049.16 is: 3,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.68 : 7,446.52 = 2,049.16 : x
  2. Step 2: Convert to fraction form
    4,968.68/7,446.52 = 2,049.16/x
  3. Step 3: Cross multiply
    4,968.68x = 7,446.52 × 2,049.16
  4. Step 4: Simplify right side
    4,968.68x = 15,259,110.92
  5. Step 5: Solve for x
    x = 15,259,110.92/4,968.68
  6. Step 6: Final answer
    x = 3,071.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.