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Finding the Fourth Proportional to 3,584.94, 5,377.34 and 2,526.37

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Solution

The fourth proportional to 3,584.94, 5,377.34 and 2,526.37 is: 3,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.94 : 5,377.34 = 2,526.37 : x
  2. Step 2: Convert to fraction form
    3,584.94/5,377.34 = 2,526.37/x
  3. Step 3: Cross multiply
    3,584.94x = 5,377.34 × 2,526.37
  4. Step 4: Simplify right side
    3,584.94x = 13,585,150.46
  5. Step 5: Solve for x
    x = 13,585,150.46/3,584.94
  6. Step 6: Final answer
    x = 3,789.51

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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.