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Finding the Fourth Proportional to 3,701.70, 5,097.33 and 2,651.94

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Solution

The fourth proportional to 3,701.70, 5,097.33 and 2,651.94 is: 3,651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.70 : 5,097.33 = 2,651.94 : x
  2. Step 2: Convert to fraction form
    3,701.70/5,097.33 = 2,651.94/x
  3. Step 3: Cross multiply
    3,701.70x = 5,097.33 × 2,651.94
  4. Step 4: Simplify right side
    3,701.70x = 13,517,813.32
  5. Step 5: Solve for x
    x = 13,517,813.32/3,701.70
  6. Step 6: Final answer
    x = 3,651.79

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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.