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Finding the Fourth Proportional to 5,898.76, 8,842.46 and 2,199.96

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Solution

The fourth proportional to 5,898.76, 8,842.46 and 2,199.96 is: 3,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.76 : 8,842.46 = 2,199.96 : x
  2. Step 2: Convert to fraction form
    5,898.76/8,842.46 = 2,199.96/x
  3. Step 3: Cross multiply
    5,898.76x = 8,842.46 × 2,199.96
  4. Step 4: Simplify right side
    5,898.76x = 19,453,058.30
  5. Step 5: Solve for x
    x = 19,453,058.30/5,898.76
  6. Step 6: Final answer
    x = 3,297.82

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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.