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Finding the Fourth Proportional to 5,063.92, 6,989.90 and 2,968

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Solution

The fourth proportional to 5,063.92, 6,989.90 and 2,968 is: 4,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.92 : 6,989.90 = 2,968 : x
  2. Step 2: Convert to fraction form
    5,063.92/6,989.90 = 2,968/x
  3. Step 3: Cross multiply
    5,063.92x = 6,989.90 × 2,968
  4. Step 4: Simplify right side
    5,063.92x = 20,746,023.20
  5. Step 5: Solve for x
    x = 20,746,023.20/5,063.92
  6. Step 6: Final answer
    x = 4,096.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.