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Finding the Fourth Proportional to 5,152.70, 7,110.78 and 2,914.60

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Solution

The fourth proportional to 5,152.70, 7,110.78 and 2,914.60 is: 4,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.70 : 7,110.78 = 2,914.60 : x
  2. Step 2: Convert to fraction form
    5,152.70/7,110.78 = 2,914.60/x
  3. Step 3: Cross multiply
    5,152.70x = 7,110.78 × 2,914.60
  4. Step 4: Simplify right side
    5,152.70x = 20,725,079.39
  5. Step 5: Solve for x
    x = 20,725,079.39/5,152.70
  6. Step 6: Final answer
    x = 4,022.18

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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.