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Finding the Fourth Proportional to 3,544.74, 5,310.19 and 2,605.95

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Solution

The fourth proportional to 3,544.74, 5,310.19 and 2,605.95 is: 3,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.74 : 5,310.19 = 2,605.95 : x
  2. Step 2: Convert to fraction form
    3,544.74/5,310.19 = 2,605.95/x
  3. Step 3: Cross multiply
    3,544.74x = 5,310.19 × 2,605.95
  4. Step 4: Simplify right side
    3,544.74x = 13,838,103.03
  5. Step 5: Solve for x
    x = 13,838,103.03/3,544.74
  6. Step 6: Final answer
    x = 3,903.84

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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.