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Finding the Fourth Proportional to 5,645.63, 7,790.83 and 3,255.55

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Solution

The fourth proportional to 5,645.63, 7,790.83 and 3,255.55 is: 4,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.63 : 7,790.83 = 3,255.55 : x
  2. Step 2: Convert to fraction form
    5,645.63/7,790.83 = 3,255.55/x
  3. Step 3: Cross multiply
    5,645.63x = 7,790.83 × 3,255.55
  4. Step 4: Simplify right side
    5,645.63x = 25,363,408.99
  5. Step 5: Solve for x
    x = 25,363,408.99/5,645.63
  6. Step 6: Final answer
    x = 4,492.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.