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Finding the Fourth Proportional to 3,421.05, 4,721.05 and 1,849.14

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Solution

The fourth proportional to 3,421.05, 4,721.05 and 1,849.14 is: 2,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.05 : 4,721.05 = 1,849.14 : x
  2. Step 2: Convert to fraction form
    3,421.05/4,721.05 = 1,849.14/x
  3. Step 3: Cross multiply
    3,421.05x = 4,721.05 × 1,849.14
  4. Step 4: Simplify right side
    3,421.05x = 8,729,883.55
  5. Step 5: Solve for x
    x = 8,729,883.55/3,421.05
  6. Step 6: Final answer
    x = 2,551.82

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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.