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Finding the Fourth Proportional to 4,072.88, 6,109.31 and 1,475.81

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Solution

The fourth proportional to 4,072.88, 6,109.31 and 1,475.81 is: 2,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.88 : 6,109.31 = 1,475.81 : x
  2. Step 2: Convert to fraction form
    4,072.88/6,109.31 = 1,475.81/x
  3. Step 3: Cross multiply
    4,072.88x = 6,109.31 × 1,475.81
  4. Step 4: Simplify right side
    4,072.88x = 9,016,199.75
  5. Step 5: Solve for x
    x = 9,016,199.75/4,072.88
  6. Step 6: Final answer
    x = 2,213.72

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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.