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Finding the Fourth Proportional to 3,455.21, 4,768.20 and 1,963.13

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Solution

The fourth proportional to 3,455.21, 4,768.20 and 1,963.13 is: 2,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.21 : 4,768.20 = 1,963.13 : x
  2. Step 2: Convert to fraction form
    3,455.21/4,768.20 = 1,963.13/x
  3. Step 3: Cross multiply
    3,455.21x = 4,768.20 × 1,963.13
  4. Step 4: Simplify right side
    3,455.21x = 9,360,596.47
  5. Step 5: Solve for x
    x = 9,360,596.47/3,455.21
  6. Step 6: Final answer
    x = 2,709.13

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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.