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Finding the Fourth Proportional to 3,914.64, 5,872.84 and 1,317.50

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Solution

The fourth proportional to 3,914.64, 5,872.84 and 1,317.50 is: 1,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.64 : 5,872.84 = 1,317.50 : x
  2. Step 2: Convert to fraction form
    3,914.64/5,872.84 = 1,317.50/x
  3. Step 3: Cross multiply
    3,914.64x = 5,872.84 × 1,317.50
  4. Step 4: Simplify right side
    3,914.64x = 7,737,466.70
  5. Step 5: Solve for x
    x = 7,737,466.70/3,914.64
  6. Step 6: Final answer
    x = 1,976.55

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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.