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Finding the Fourth Proportional to 5,012.91, 6,914.90 and 3,244.50

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Solution

The fourth proportional to 5,012.91, 6,914.90 and 3,244.50 is: 4,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.91 : 6,914.90 = 3,244.50 : x
  2. Step 2: Convert to fraction form
    5,012.91/6,914.90 = 3,244.50/x
  3. Step 3: Cross multiply
    5,012.91x = 6,914.90 × 3,244.50
  4. Step 4: Simplify right side
    5,012.91x = 22,435,376.83
  5. Step 5: Solve for x
    x = 22,435,376.83/5,012.91
  6. Step 6: Final answer
    x = 4,475.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.