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Finding the Fourth Proportional to 3,914.66, 5,874.05 and 1,724.90

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Solution

The fourth proportional to 3,914.66, 5,874.05 and 1,724.90 is: 2,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.66 : 5,874.05 = 1,724.90 : x
  2. Step 2: Convert to fraction form
    3,914.66/5,874.05 = 1,724.90/x
  3. Step 3: Cross multiply
    3,914.66x = 5,874.05 × 1,724.90
  4. Step 4: Simplify right side
    3,914.66x = 10,132,123.79
  5. Step 5: Solve for x
    x = 10,132,123.79/3,914.66
  6. Step 6: Final answer
    x = 2,588.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.