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Finding the Fourth Proportional to 3,991.12, 5,987.70 and 3,925

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Solution

The fourth proportional to 3,991.12, 5,987.70 and 3,925 is: 5,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.12 : 5,987.70 = 3,925 : x
  2. Step 2: Convert to fraction form
    3,991.12/5,987.70 = 3,925/x
  3. Step 3: Cross multiply
    3,991.12x = 5,987.70 × 3,925
  4. Step 4: Simplify right side
    3,991.12x = 23,501,722.50
  5. Step 5: Solve for x
    x = 23,501,722.50/3,991.12
  6. Step 6: Final answer
    x = 5,888.50

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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.