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Finding the Fourth Proportional to 6,097.75, 8,414.90 and 3,303.25

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Solution

The fourth proportional to 6,097.75, 8,414.90 and 3,303.25 is: 4,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.75 : 8,414.90 = 3,303.25 : x
  2. Step 2: Convert to fraction form
    6,097.75/8,414.90 = 3,303.25/x
  3. Step 3: Cross multiply
    6,097.75x = 8,414.90 × 3,303.25
  4. Step 4: Simplify right side
    6,097.75x = 27,796,518.43
  5. Step 5: Solve for x
    x = 27,796,518.43/6,097.75
  6. Step 6: Final answer
    x = 4,558.49

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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.