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Finding the Fourth Proportional to 5,152.14, 7,109.94 and 2,914.02

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Solution

The fourth proportional to 5,152.14, 7,109.94 and 2,914.02 is: 4,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.14 : 7,109.94 = 2,914.02 : x
  2. Step 2: Convert to fraction form
    5,152.14/7,109.94 = 2,914.02/x
  3. Step 3: Cross multiply
    5,152.14x = 7,109.94 × 2,914.02
  4. Step 4: Simplify right side
    5,152.14x = 20,718,507.36
  5. Step 5: Solve for x
    x = 20,718,507.36/5,152.14
  6. Step 6: Final answer
    x = 4,021.34

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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.