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Finding the Fourth Proportional to 5,912.86, 8,869.30 and 2,402.96

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Solution

The fourth proportional to 5,912.86, 8,869.30 and 2,402.96 is: 3,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.86 : 8,869.30 = 2,402.96 : x
  2. Step 2: Convert to fraction form
    5,912.86/8,869.30 = 2,402.96/x
  3. Step 3: Cross multiply
    5,912.86x = 8,869.30 × 2,402.96
  4. Step 4: Simplify right side
    5,912.86x = 21,312,573.13
  5. Step 5: Solve for x
    x = 21,312,573.13/5,912.86
  6. Step 6: Final answer
    x = 3,604.44

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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.