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Finding the Fourth Proportional to 4,138.31, 6,199.13 and 1,914.01

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Solution

The fourth proportional to 4,138.31, 6,199.13 and 1,914.01 is: 2,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.31 : 6,199.13 = 1,914.01 : x
  2. Step 2: Convert to fraction form
    4,138.31/6,199.13 = 1,914.01/x
  3. Step 3: Cross multiply
    4,138.31x = 6,199.13 × 1,914.01
  4. Step 4: Simplify right side
    4,138.31x = 11,865,186.10
  5. Step 5: Solve for x
    x = 11,865,186.10/4,138.31
  6. Step 6: Final answer
    x = 2,867.16

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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.