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Finding the Fourth Proportional to 5,152.68, 7,111.14 and 2,914.95

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Solution

The fourth proportional to 5,152.68, 7,111.14 and 2,914.95 is: 4,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.68 : 7,111.14 = 2,914.95 : x
  2. Step 2: Convert to fraction form
    5,152.68/7,111.14 = 2,914.95/x
  3. Step 3: Cross multiply
    5,152.68x = 7,111.14 × 2,914.95
  4. Step 4: Simplify right side
    5,152.68x = 20,728,617.54
  5. Step 5: Solve for x
    x = 20,728,617.54/5,152.68
  6. Step 6: Final answer
    x = 4,022.88

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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.