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Finding the Fourth Proportional to 3,578.61, 5,367.86 and 981.55

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Solution

The fourth proportional to 3,578.61, 5,367.86 and 981.55 is: 1,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.61 : 5,367.86 = 981.55 : x
  2. Step 2: Convert to fraction form
    3,578.61/5,367.86 = 981.55/x
  3. Step 3: Cross multiply
    3,578.61x = 5,367.86 × 981.55
  4. Step 4: Simplify right side
    3,578.61x = 5,268,822.98
  5. Step 5: Solve for x
    x = 5,268,822.98/3,578.61
  6. Step 6: Final answer
    x = 1,472.31

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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.