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Finding the Fourth Proportional to 3,626.88, 5,436 and 2,525.28

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Solution

The fourth proportional to 3,626.88, 5,436 and 2,525.28 is: 3,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.88 : 5,436 = 2,525.28 : x
  2. Step 2: Convert to fraction form
    3,626.88/5,436 = 2,525.28/x
  3. Step 3: Cross multiply
    3,626.88x = 5,436 × 2,525.28
  4. Step 4: Simplify right side
    3,626.88x = 13,727,422.08
  5. Step 5: Solve for x
    x = 13,727,422.08/3,626.88
  6. Step 6: Final answer
    x = 3,784.91

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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.