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Finding the Fourth Proportional to 4,237.99, 5,848.62 and 2,469.76

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Solution

The fourth proportional to 4,237.99, 5,848.62 and 2,469.76 is: 3,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.99 : 5,848.62 = 2,469.76 : x
  2. Step 2: Convert to fraction form
    4,237.99/5,848.62 = 2,469.76/x
  3. Step 3: Cross multiply
    4,237.99x = 5,848.62 × 2,469.76
  4. Step 4: Simplify right side
    4,237.99x = 14,444,687.73
  5. Step 5: Solve for x
    x = 14,444,687.73/4,237.99
  6. Step 6: Final answer
    x = 3,408.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.