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Finding the Fourth Proportional to 4,706.73, 6,497.91 and 4,208.18

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Solution

The fourth proportional to 4,706.73, 6,497.91 and 4,208.18 is: 5,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.73 : 6,497.91 = 4,208.18 : x
  2. Step 2: Convert to fraction form
    4,706.73/6,497.91 = 4,208.18/x
  3. Step 3: Cross multiply
    4,706.73x = 6,497.91 × 4,208.18
  4. Step 4: Simplify right side
    4,706.73x = 27,344,342.41
  5. Step 5: Solve for x
    x = 27,344,342.41/4,706.73
  6. Step 6: Final answer
    x = 5,809.63

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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.