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Finding the Fourth Proportional to 4,640.35, 6,963.94 and 3,411.08

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Solution

The fourth proportional to 4,640.35, 6,963.94 and 3,411.08 is: 5,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.35 : 6,963.94 = 3,411.08 : x
  2. Step 2: Convert to fraction form
    4,640.35/6,963.94 = 3,411.08/x
  3. Step 3: Cross multiply
    4,640.35x = 6,963.94 × 3,411.08
  4. Step 4: Simplify right side
    4,640.35x = 23,754,556.46
  5. Step 5: Solve for x
    x = 23,754,556.46/4,640.35
  6. Step 6: Final answer
    x = 5,119.13

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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.