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Finding the Fourth Proportional to 4,012.42, 6,019.04 and 1,512.98

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Solution

The fourth proportional to 4,012.42, 6,019.04 and 1,512.98 is: 2,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.42 : 6,019.04 = 1,512.98 : x
  2. Step 2: Convert to fraction form
    4,012.42/6,019.04 = 1,512.98/x
  3. Step 3: Cross multiply
    4,012.42x = 6,019.04 × 1,512.98
  4. Step 4: Simplify right side
    4,012.42x = 9,106,687.14
  5. Step 5: Solve for x
    x = 9,106,687.14/4,012.42
  6. Step 6: Final answer
    x = 2,269.62

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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.