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Finding the Fourth Proportional to 3,685.56, 5,522.98 and 2,365.17

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Solution

The fourth proportional to 3,685.56, 5,522.98 and 2,365.17 is: 3,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.56 : 5,522.98 = 2,365.17 : x
  2. Step 2: Convert to fraction form
    3,685.56/5,522.98 = 2,365.17/x
  3. Step 3: Cross multiply
    3,685.56x = 5,522.98 × 2,365.17
  4. Step 4: Simplify right side
    3,685.56x = 13,062,786.61
  5. Step 5: Solve for x
    x = 13,062,786.61/3,685.56
  6. Step 6: Final answer
    x = 3,544.32

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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.