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Finding the Fourth Proportional to 4,014.45, 6,019.12 and 1,930.31

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Solution

The fourth proportional to 4,014.45, 6,019.12 and 1,930.31 is: 2,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.45 : 6,019.12 = 1,930.31 : x
  2. Step 2: Convert to fraction form
    4,014.45/6,019.12 = 1,930.31/x
  3. Step 3: Cross multiply
    4,014.45x = 6,019.12 × 1,930.31
  4. Step 4: Simplify right side
    4,014.45x = 11,618,767.53
  5. Step 5: Solve for x
    x = 11,618,767.53/4,014.45
  6. Step 6: Final answer
    x = 2,894.24

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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.