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Finding the Fourth Proportional to 4,114.51, 6,171.76 and 1,378.51

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Solution

The fourth proportional to 4,114.51, 6,171.76 and 1,378.51 is: 2,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.51 : 6,171.76 = 1,378.51 : x
  2. Step 2: Convert to fraction form
    4,114.51/6,171.76 = 1,378.51/x
  3. Step 3: Cross multiply
    4,114.51x = 6,171.76 × 1,378.51
  4. Step 4: Simplify right side
    4,114.51x = 8,507,825.99
  5. Step 5: Solve for x
    x = 8,507,825.99/4,114.51
  6. Step 6: Final answer
    x = 2,067.76

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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.