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Finding the Fourth Proportional to 3,165.60, 4,359.52 and 3,097.76

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Solution

The fourth proportional to 3,165.60, 4,359.52 and 3,097.76 is: 4,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.60 : 4,359.52 = 3,097.76 : x
  2. Step 2: Convert to fraction form
    3,165.60/4,359.52 = 3,097.76/x
  3. Step 3: Cross multiply
    3,165.60x = 4,359.52 × 3,097.76
  4. Step 4: Simplify right side
    3,165.60x = 13,504,746.68
  5. Step 5: Solve for x
    x = 13,504,746.68/3,165.60
  6. Step 6: Final answer
    x = 4,266.09

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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.