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Finding the Fourth Proportional to 4,114.75, 6,172.17 and 1,036.75

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Solution

The fourth proportional to 4,114.75, 6,172.17 and 1,036.75 is: 1,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.75 : 6,172.17 = 1,036.75 : x
  2. Step 2: Convert to fraction form
    4,114.75/6,172.17 = 1,036.75/x
  3. Step 3: Cross multiply
    4,114.75x = 6,172.17 × 1,036.75
  4. Step 4: Simplify right side
    4,114.75x = 6,398,997.25
  5. Step 5: Solve for x
    x = 6,398,997.25/4,114.75
  6. Step 6: Final answer
    x = 1,555.14

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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.