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Finding the Fourth Proportional to 4,745.82, 7,117.92 and 1,822.62

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Solution

The fourth proportional to 4,745.82, 7,117.92 and 1,822.62 is: 2,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.82 : 7,117.92 = 1,822.62 : x
  2. Step 2: Convert to fraction form
    4,745.82/7,117.92 = 1,822.62/x
  3. Step 3: Cross multiply
    4,745.82x = 7,117.92 × 1,822.62
  4. Step 4: Simplify right side
    4,745.82x = 12,973,263.35
  5. Step 5: Solve for x
    x = 12,973,263.35/4,745.82
  6. Step 6: Final answer
    x = 2,733.62

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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.