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Finding the Fourth Proportional to 4,014.92, 6,015.29 and 2,164.07

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Solution

The fourth proportional to 4,014.92, 6,015.29 and 2,164.07 is: 3,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.92 : 6,015.29 = 2,164.07 : x
  2. Step 2: Convert to fraction form
    4,014.92/6,015.29 = 2,164.07/x
  3. Step 3: Cross multiply
    4,014.92x = 6,015.29 × 2,164.07
  4. Step 4: Simplify right side
    4,014.92x = 13,017,467.73
  5. Step 5: Solve for x
    x = 13,017,467.73/4,014.92
  6. Step 6: Final answer
    x = 3,242.28

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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.