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Finding the Fourth Proportional to 5,645.54, 7,790.83 and 3,255.50

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Solution

The fourth proportional to 5,645.54, 7,790.83 and 3,255.50 is: 4,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.54 : 7,790.83 = 3,255.50 : x
  2. Step 2: Convert to fraction form
    5,645.54/7,790.83 = 3,255.50/x
  3. Step 3: Cross multiply
    5,645.54x = 7,790.83 × 3,255.50
  4. Step 4: Simplify right side
    5,645.54x = 25,363,047.07
  5. Step 5: Solve for x
    x = 25,363,047.07/5,645.54
  6. Step 6: Final answer
    x = 4,492.58

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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.