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Finding the Fourth Proportional to 6,380.61, 8,795.97 and 4,486.38

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Solution

The fourth proportional to 6,380.61, 8,795.97 and 4,486.38 is: 6,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.61 : 8,795.97 = 4,486.38 : x
  2. Step 2: Convert to fraction form
    6,380.61/8,795.97 = 4,486.38/x
  3. Step 3: Cross multiply
    6,380.61x = 8,795.97 × 4,486.38
  4. Step 4: Simplify right side
    6,380.61x = 39,462,063.89
  5. Step 5: Solve for x
    x = 39,462,063.89/6,380.61
  6. Step 6: Final answer
    x = 6,184.69

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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.