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Finding the Fourth Proportional to 3,746.48, 5,620.92 and 1,798.82

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Solution

The fourth proportional to 3,746.48, 5,620.92 and 1,798.82 is: 2,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.48 : 5,620.92 = 1,798.82 : x
  2. Step 2: Convert to fraction form
    3,746.48/5,620.92 = 1,798.82/x
  3. Step 3: Cross multiply
    3,746.48x = 5,620.92 × 1,798.82
  4. Step 4: Simplify right side
    3,746.48x = 10,111,023.31
  5. Step 5: Solve for x
    x = 10,111,023.31/3,746.48
  6. Step 6: Final answer
    x = 2,698.81

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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.