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Finding the Fourth Proportional to 4,859.88, 6,706.78 and 4,562.62

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Solution

The fourth proportional to 4,859.88, 6,706.78 and 4,562.62 is: 6,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.88 : 6,706.78 = 4,562.62 : x
  2. Step 2: Convert to fraction form
    4,859.88/6,706.78 = 4,562.62/x
  3. Step 3: Cross multiply
    4,859.88x = 6,706.78 × 4,562.62
  4. Step 4: Simplify right side
    4,859.88x = 30,600,488.56
  5. Step 5: Solve for x
    x = 30,600,488.56/4,859.88
  6. Step 6: Final answer
    x = 6,296.55

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