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Finding the Fourth Proportional to 3,421.54, 4,721.73 and 1,849.64

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Solution

The fourth proportional to 3,421.54, 4,721.73 and 1,849.64 is: 2,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.54 : 4,721.73 = 1,849.64 : x
  2. Step 2: Convert to fraction form
    3,421.54/4,721.73 = 1,849.64/x
  3. Step 3: Cross multiply
    3,421.54x = 4,721.73 × 1,849.64
  4. Step 4: Simplify right side
    3,421.54x = 8,733,467.82
  5. Step 5: Solve for x
    x = 8,733,467.82/3,421.54
  6. Step 6: Final answer
    x = 2,552.50

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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.