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Finding the Fourth Proportional to 6,097.60, 8,414.60 and 3,303.08

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Solution

The fourth proportional to 6,097.60, 8,414.60 and 3,303.08 is: 4,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.60 : 8,414.60 = 3,303.08 : x
  2. Step 2: Convert to fraction form
    6,097.60/8,414.60 = 3,303.08/x
  3. Step 3: Cross multiply
    6,097.60x = 8,414.60 × 3,303.08
  4. Step 4: Simplify right side
    6,097.60x = 27,794,096.97
  5. Step 5: Solve for x
    x = 27,794,096.97/6,097.60
  6. Step 6: Final answer
    x = 4,558.20

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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.