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Finding the Fourth Proportional to 3,624.29, 5,435.71 and 1,158.44

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Solution

The fourth proportional to 3,624.29, 5,435.71 and 1,158.44 is: 1,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.29 : 5,435.71 = 1,158.44 : x
  2. Step 2: Convert to fraction form
    3,624.29/5,435.71 = 1,158.44/x
  3. Step 3: Cross multiply
    3,624.29x = 5,435.71 × 1,158.44
  4. Step 4: Simplify right side
    3,624.29x = 6,296,943.89
  5. Step 5: Solve for x
    x = 6,296,943.89/3,624.29
  6. Step 6: Final answer
    x = 1,737.43

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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.