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Finding the Fourth Proportional to 4,578.78, 6,868.14 and 1,983.54

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Solution

The fourth proportional to 4,578.78, 6,868.14 and 1,983.54 is: 2,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.78 : 6,868.14 = 1,983.54 : x
  2. Step 2: Convert to fraction form
    4,578.78/6,868.14 = 1,983.54/x
  3. Step 3: Cross multiply
    4,578.78x = 6,868.14 × 1,983.54
  4. Step 4: Simplify right side
    4,578.78x = 13,623,230.42
  5. Step 5: Solve for x
    x = 13,623,230.42/4,578.78
  6. Step 6: Final answer
    x = 2,975.30

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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.