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Finding the Fourth Proportional to 4,745.33, 7,116.63 and 1,822.96

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Solution

The fourth proportional to 4,745.33, 7,116.63 and 1,822.96 is: 2,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.33 : 7,116.63 = 1,822.96 : x
  2. Step 2: Convert to fraction form
    4,745.33/7,116.63 = 1,822.96/x
  3. Step 3: Cross multiply
    4,745.33x = 7,116.63 × 1,822.96
  4. Step 4: Simplify right side
    4,745.33x = 12,973,309.23
  5. Step 5: Solve for x
    x = 12,973,309.23/4,745.33
  6. Step 6: Final answer
    x = 2,733.91

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