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Finding the Fourth Proportional to 3,137.92, 4,707.48 and 1,578.26

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Solution

The fourth proportional to 3,137.92, 4,707.48 and 1,578.26 is: 2,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.92 : 4,707.48 = 1,578.26 : x
  2. Step 2: Convert to fraction form
    3,137.92/4,707.48 = 1,578.26/x
  3. Step 3: Cross multiply
    3,137.92x = 4,707.48 × 1,578.26
  4. Step 4: Simplify right side
    3,137.92x = 7,429,627.38
  5. Step 5: Solve for x
    x = 7,429,627.38/3,137.92
  6. Step 6: Final answer
    x = 2,367.70

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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.