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Finding the Fourth Proportional to 4,772.82, 7,161.64 and 4,411.96

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Solution

The fourth proportional to 4,772.82, 7,161.64 and 4,411.96 is: 6,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.82 : 7,161.64 = 4,411.96 : x
  2. Step 2: Convert to fraction form
    4,772.82/7,161.64 = 4,411.96/x
  3. Step 3: Cross multiply
    4,772.82x = 7,161.64 × 4,411.96
  4. Step 4: Simplify right side
    4,772.82x = 31,596,869.21
  5. Step 5: Solve for x
    x = 31,596,869.21/4,772.82
  6. Step 6: Final answer
    x = 6,620.17

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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.