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Finding the Fourth Proportional to 4,012.14, 6,019.02 and 1,415.10

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Solution

The fourth proportional to 4,012.14, 6,019.02 and 1,415.10 is: 2,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.14 : 6,019.02 = 1,415.10 : x
  2. Step 2: Convert to fraction form
    4,012.14/6,019.02 = 1,415.10/x
  3. Step 3: Cross multiply
    4,012.14x = 6,019.02 × 1,415.10
  4. Step 4: Simplify right side
    4,012.14x = 8,517,515.20
  5. Step 5: Solve for x
    x = 8,517,515.20/4,012.14
  6. Step 6: Final answer
    x = 2,122.94

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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.