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Finding the Fourth Proportional to 3,097.70, 4,635.76 and 2,535.92

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Solution

The fourth proportional to 3,097.70, 4,635.76 and 2,535.92 is: 3,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.70 : 4,635.76 = 2,535.92 : x
  2. Step 2: Convert to fraction form
    3,097.70/4,635.76 = 2,535.92/x
  3. Step 3: Cross multiply
    3,097.70x = 4,635.76 × 2,535.92
  4. Step 4: Simplify right side
    3,097.70x = 11,755,903.82
  5. Step 5: Solve for x
    x = 11,755,903.82/3,097.70
  6. Step 6: Final answer
    x = 3,795.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.