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Finding the Fourth Proportional to 3,626.93, 5,439.47 and 1,545.86

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Solution

The fourth proportional to 3,626.93, 5,439.47 and 1,545.86 is: 2,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.93 : 5,439.47 = 1,545.86 : x
  2. Step 2: Convert to fraction form
    3,626.93/5,439.47 = 1,545.86/x
  3. Step 3: Cross multiply
    3,626.93x = 5,439.47 × 1,545.86
  4. Step 4: Simplify right side
    3,626.93x = 8,408,624.17
  5. Step 5: Solve for x
    x = 8,408,624.17/3,626.93
  6. Step 6: Final answer
    x = 2,318.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.