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Finding the Fourth Proportional to 3,640.88, 5,462.47 and 1,300.84

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Solution

The fourth proportional to 3,640.88, 5,462.47 and 1,300.84 is: 1,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.88 : 5,462.47 = 1,300.84 : x
  2. Step 2: Convert to fraction form
    3,640.88/5,462.47 = 1,300.84/x
  3. Step 3: Cross multiply
    3,640.88x = 5,462.47 × 1,300.84
  4. Step 4: Simplify right side
    3,640.88x = 7,105,772.16
  5. Step 5: Solve for x
    x = 7,105,772.16/3,640.88
  6. Step 6: Final answer
    x = 1,951.66

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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.