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Finding the Fourth Proportional to 5,578.59, 8,367.95 and 1,683.03

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Solution

The fourth proportional to 5,578.59, 8,367.95 and 1,683.03 is: 2,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.59 : 8,367.95 = 1,683.03 : x
  2. Step 2: Convert to fraction form
    5,578.59/8,367.95 = 1,683.03/x
  3. Step 3: Cross multiply
    5,578.59x = 8,367.95 × 1,683.03
  4. Step 4: Simplify right side
    5,578.59x = 14,083,502.47
  5. Step 5: Solve for x
    x = 14,083,502.47/5,578.59
  6. Step 6: Final answer
    x = 2,524.56

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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.