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Finding the Fourth Proportional to 4,012.44, 6,014.04 and 1,546.17

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Solution

The fourth proportional to 4,012.44, 6,014.04 and 1,546.17 is: 2,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.44 : 6,014.04 = 1,546.17 : x
  2. Step 2: Convert to fraction form
    4,012.44/6,014.04 = 1,546.17/x
  3. Step 3: Cross multiply
    4,012.44x = 6,014.04 × 1,546.17
  4. Step 4: Simplify right side
    4,012.44x = 9,298,728.23
  5. Step 5: Solve for x
    x = 9,298,728.23/4,012.44
  6. Step 6: Final answer
    x = 2,317.47

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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.