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Finding the Fourth Proportional to 4,094.71, 6,141.47 and 2,014.16

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Solution

The fourth proportional to 4,094.71, 6,141.47 and 2,014.16 is: 3,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.71 : 6,141.47 = 2,014.16 : x
  2. Step 2: Convert to fraction form
    4,094.71/6,141.47 = 2,014.16/x
  3. Step 3: Cross multiply
    4,094.71x = 6,141.47 × 2,014.16
  4. Step 4: Simplify right side
    4,094.71x = 12,369,862.44
  5. Step 5: Solve for x
    x = 12,369,862.44/4,094.71
  6. Step 6: Final answer
    x = 3,020.94

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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.