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Finding the Fourth Proportional to 5,835.92, 8,733.28 and 3,645.68

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Solution

The fourth proportional to 5,835.92, 8,733.28 and 3,645.68 is: 5,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.92 : 8,733.28 = 3,645.68 : x
  2. Step 2: Convert to fraction form
    5,835.92/8,733.28 = 3,645.68/x
  3. Step 3: Cross multiply
    5,835.92x = 8,733.28 × 3,645.68
  4. Step 4: Simplify right side
    5,835.92x = 31,838,744.23
  5. Step 5: Solve for x
    x = 31,838,744.23/5,835.92
  6. Step 6: Final answer
    x = 5,455.65

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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.