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Finding the Fourth Proportional to 5,478.86, 8,219.67 and 1,583.24

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Solution

The fourth proportional to 5,478.86, 8,219.67 and 1,583.24 is: 2,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.86 : 8,219.67 = 1,583.24 : x
  2. Step 2: Convert to fraction form
    5,478.86/8,219.67 = 1,583.24/x
  3. Step 3: Cross multiply
    5,478.86x = 8,219.67 × 1,583.24
  4. Step 4: Simplify right side
    5,478.86x = 13,013,710.33
  5. Step 5: Solve for x
    x = 13,013,710.33/5,478.86
  6. Step 6: Final answer
    x = 2,375.26

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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.