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Finding the Fourth Proportional to 6,455.90, 8,906.99 and 3,766.50

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Solution

The fourth proportional to 6,455.90, 8,906.99 and 3,766.50 is: 5,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.90 : 8,906.99 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    6,455.90/8,906.99 = 3,766.50/x
  3. Step 3: Cross multiply
    6,455.90x = 8,906.99 × 3,766.50
  4. Step 4: Simplify right side
    6,455.90x = 33,548,159.00
  5. Step 5: Solve for x
    x = 33,548,159.00/6,455.90
  6. Step 6: Final answer
    x = 5,196.51

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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.