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Finding the Fourth Proportional to 4,654.46, 6,422.13 and 2,766.67

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Solution

The fourth proportional to 4,654.46, 6,422.13 and 2,766.67 is: 3,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.46 : 6,422.13 = 2,766.67 : x
  2. Step 2: Convert to fraction form
    4,654.46/6,422.13 = 2,766.67/x
  3. Step 3: Cross multiply
    4,654.46x = 6,422.13 × 2,766.67
  4. Step 4: Simplify right side
    4,654.46x = 17,767,878.84
  5. Step 5: Solve for x
    x = 17,767,878.84/4,654.46
  6. Step 6: Final answer
    x = 3,817.39

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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.