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Finding the Fourth Proportional to 5,085.89, 7,629.10 and 1,578.32

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Solution

The fourth proportional to 5,085.89, 7,629.10 and 1,578.32 is: 2,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.89 : 7,629.10 = 1,578.32 : x
  2. Step 2: Convert to fraction form
    5,085.89/7,629.10 = 1,578.32/x
  3. Step 3: Cross multiply
    5,085.89x = 7,629.10 × 1,578.32
  4. Step 4: Simplify right side
    5,085.89x = 12,041,161.11
  5. Step 5: Solve for x
    x = 12,041,161.11/5,085.89
  6. Step 6: Final answer
    x = 2,367.56

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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.