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Finding the Fourth Proportional to 5,011.92, 6,914.76 and 2,914.32

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Solution

The fourth proportional to 5,011.92, 6,914.76 and 2,914.32 is: 4,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.92 : 6,914.76 = 2,914.32 : x
  2. Step 2: Convert to fraction form
    5,011.92/6,914.76 = 2,914.32/x
  3. Step 3: Cross multiply
    5,011.92x = 6,914.76 × 2,914.32
  4. Step 4: Simplify right side
    5,011.92x = 20,151,823.36
  5. Step 5: Solve for x
    x = 20,151,823.36/5,011.92
  6. Step 6: Final answer
    x = 4,020.78

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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.