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Finding the Fourth Proportional to 5,212.08, 7,810.84 and 3,744.36

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Solution

The fourth proportional to 5,212.08, 7,810.84 and 3,744.36 is: 5,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.08 : 7,810.84 = 3,744.36 : x
  2. Step 2: Convert to fraction form
    5,212.08/7,810.84 = 3,744.36/x
  3. Step 3: Cross multiply
    5,212.08x = 7,810.84 × 3,744.36
  4. Step 4: Simplify right side
    5,212.08x = 29,246,596.86
  5. Step 5: Solve for x
    x = 29,246,596.86/5,212.08
  6. Step 6: Final answer
    x = 5,611.31

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