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Finding the Fourth Proportional to 4,467.86, 6,702.24 and 1,545.48

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Solution

The fourth proportional to 4,467.86, 6,702.24 and 1,545.48 is: 2,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.86 : 6,702.24 = 1,545.48 : x
  2. Step 2: Convert to fraction form
    4,467.86/6,702.24 = 1,545.48/x
  3. Step 3: Cross multiply
    4,467.86x = 6,702.24 × 1,545.48
  4. Step 4: Simplify right side
    4,467.86x = 10,358,183.67
  5. Step 5: Solve for x
    x = 10,358,183.67/4,467.86
  6. Step 6: Final answer
    x = 2,318.38

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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.