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Finding the Fourth Proportional to 3,730.86, 5,148.62 and 2,029.37

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Solution

The fourth proportional to 3,730.86, 5,148.62 and 2,029.37 is: 2,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.86 : 5,148.62 = 2,029.37 : x
  2. Step 2: Convert to fraction form
    3,730.86/5,148.62 = 2,029.37/x
  3. Step 3: Cross multiply
    3,730.86x = 5,148.62 × 2,029.37
  4. Step 4: Simplify right side
    3,730.86x = 10,448,431.95
  5. Step 5: Solve for x
    x = 10,448,431.95/3,730.86
  6. Step 6: Final answer
    x = 2,800.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.