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Finding the Fourth Proportional to 5,912.78, 8,869.98 and 4,682.48

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Solution

The fourth proportional to 5,912.78, 8,869.98 and 4,682.48 is: 7,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.78 : 8,869.98 = 4,682.48 : x
  2. Step 2: Convert to fraction form
    5,912.78/8,869.98 = 4,682.48/x
  3. Step 3: Cross multiply
    5,912.78x = 8,869.98 × 4,682.48
  4. Step 4: Simplify right side
    5,912.78x = 41,533,503.95
  5. Step 5: Solve for x
    x = 41,533,503.95/5,912.78
  6. Step 6: Final answer
    x = 7,024.36

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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.