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Finding the Fourth Proportional to 3,138.37, 4,710.14 and 1,578.82

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Solution

The fourth proportional to 3,138.37, 4,710.14 and 1,578.82 is: 2,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.37 : 4,710.14 = 1,578.82 : x
  2. Step 2: Convert to fraction form
    3,138.37/4,710.14 = 1,578.82/x
  3. Step 3: Cross multiply
    3,138.37x = 4,710.14 × 1,578.82
  4. Step 4: Simplify right side
    3,138.37x = 7,436,463.23
  5. Step 5: Solve for x
    x = 7,436,463.23/3,138.37
  6. Step 6: Final answer
    x = 2,369.53

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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.