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Finding the Fourth Proportional to 3,623.59, 5,435.59 and 1,158.22

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Solution

The fourth proportional to 3,623.59, 5,435.59 and 1,158.22 is: 1,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.59 : 5,435.59 = 1,158.22 : x
  2. Step 2: Convert to fraction form
    3,623.59/5,435.59 = 1,158.22/x
  3. Step 3: Cross multiply
    3,623.59x = 5,435.59 × 1,158.22
  4. Step 4: Simplify right side
    3,623.59x = 6,295,584.55
  5. Step 5: Solve for x
    x = 6,295,584.55/3,623.59
  6. Step 6: Final answer
    x = 1,737.39

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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.