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Finding the Fourth Proportional to 4,666.62, 6,997.80 and 1,378.56

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Solution

The fourth proportional to 4,666.62, 6,997.80 and 1,378.56 is: 2,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.62 : 6,997.80 = 1,378.56 : x
  2. Step 2: Convert to fraction form
    4,666.62/6,997.80 = 1,378.56/x
  3. Step 3: Cross multiply
    4,666.62x = 6,997.80 × 1,378.56
  4. Step 4: Simplify right side
    4,666.62x = 9,646,887.17
  5. Step 5: Solve for x
    x = 9,646,887.17/4,666.62
  6. Step 6: Final answer
    x = 2,067.21

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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.