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Finding the Fourth Proportional to 4,640.47, 6,960.67 and 1,522.64

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Solution

The fourth proportional to 4,640.47, 6,960.67 and 1,522.64 is: 2,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.47 : 6,960.67 = 1,522.64 : x
  2. Step 2: Convert to fraction form
    4,640.47/6,960.67 = 1,522.64/x
  3. Step 3: Cross multiply
    4,640.47x = 6,960.67 × 1,522.64
  4. Step 4: Simplify right side
    4,640.47x = 10,598,594.57
  5. Step 5: Solve for x
    x = 10,598,594.57/4,640.47
  6. Step 6: Final answer
    x = 2,283.95

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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.