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Finding the Fourth Proportional to 4,982.16, 7,470.62 and 2,643.48

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Solution

The fourth proportional to 4,982.16, 7,470.62 and 2,643.48 is: 3,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.16 : 7,470.62 = 2,643.48 : x
  2. Step 2: Convert to fraction form
    4,982.16/7,470.62 = 2,643.48/x
  3. Step 3: Cross multiply
    4,982.16x = 7,470.62 × 2,643.48
  4. Step 4: Simplify right side
    4,982.16x = 19,748,434.56
  5. Step 5: Solve for x
    x = 19,748,434.56/4,982.16
  6. Step 6: Final answer
    x = 3,963.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.