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Finding the Fourth Proportional to 4,722.62, 7,083.92 and 1,602.63

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Solution

The fourth proportional to 4,722.62, 7,083.92 and 1,602.63 is: 2,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.62 : 7,083.92 = 1,602.63 : x
  2. Step 2: Convert to fraction form
    4,722.62/7,083.92 = 1,602.63/x
  3. Step 3: Cross multiply
    4,722.62x = 7,083.92 × 1,602.63
  4. Step 4: Simplify right side
    4,722.62x = 11,352,906.72
  5. Step 5: Solve for x
    x = 11,352,906.72/4,722.62
  6. Step 6: Final answer
    x = 2,403.95

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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.