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Finding the Fourth Proportional to 4,114.56, 6,171.90 and 1,036.56

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Solution

The fourth proportional to 4,114.56, 6,171.90 and 1,036.56 is: 1,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.56 : 6,171.90 = 1,036.56 : x
  2. Step 2: Convert to fraction form
    4,114.56/6,171.90 = 1,036.56/x
  3. Step 3: Cross multiply
    4,114.56x = 6,171.90 × 1,036.56
  4. Step 4: Simplify right side
    4,114.56x = 6,397,544.66
  5. Step 5: Solve for x
    x = 6,397,544.66/4,114.56
  6. Step 6: Final answer
    x = 1,554.86

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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.