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Finding the Fourth Proportional to 6,405.84, 8,843 and 4,518.96

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Solution

The fourth proportional to 6,405.84, 8,843 and 4,518.96 is: 6,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.84 : 8,843 = 4,518.96 : x
  2. Step 2: Convert to fraction form
    6,405.84/8,843 = 4,518.96/x
  3. Step 3: Cross multiply
    6,405.84x = 8,843 × 4,518.96
  4. Step 4: Simplify right side
    6,405.84x = 39,961,163.28
  5. Step 5: Solve for x
    x = 39,961,163.28/6,405.84
  6. Step 6: Final answer
    x = 6,238.24

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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.