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Finding the Fourth Proportional to 6,410.87, 8,845.93 and 4,282.99

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Solution

The fourth proportional to 6,410.87, 8,845.93 and 4,282.99 is: 5,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.87 : 8,845.93 = 4,282.99 : x
  2. Step 2: Convert to fraction form
    6,410.87/8,845.93 = 4,282.99/x
  3. Step 3: Cross multiply
    6,410.87x = 8,845.93 × 4,282.99
  4. Step 4: Simplify right side
    6,410.87x = 37,887,029.73
  5. Step 5: Solve for x
    x = 37,887,029.73/6,410.87
  6. Step 6: Final answer
    x = 5,909.81

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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.