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Finding the Fourth Proportional to 5,874.50, 8,813.19 and 2,411.75

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Solution

The fourth proportional to 5,874.50, 8,813.19 and 2,411.75 is: 3,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.50 : 8,813.19 = 2,411.75 : x
  2. Step 2: Convert to fraction form
    5,874.50/8,813.19 = 2,411.75/x
  3. Step 3: Cross multiply
    5,874.50x = 8,813.19 × 2,411.75
  4. Step 4: Simplify right side
    5,874.50x = 21,255,210.98
  5. Step 5: Solve for x
    x = 21,255,210.98/5,874.50
  6. Step 6: Final answer
    x = 3,618.22

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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.