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Finding the Fourth Proportional to 4,802.13, 7,211.43 and 2,964.11

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Solution

The fourth proportional to 4,802.13, 7,211.43 and 2,964.11 is: 4,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.13 : 7,211.43 = 2,964.11 : x
  2. Step 2: Convert to fraction form
    4,802.13/7,211.43 = 2,964.11/x
  3. Step 3: Cross multiply
    4,802.13x = 7,211.43 × 2,964.11
  4. Step 4: Simplify right side
    4,802.13x = 21,375,435.72
  5. Step 5: Solve for x
    x = 21,375,435.72/4,802.13
  6. Step 6: Final answer
    x = 4,451.24

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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.