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Finding the Fourth Proportional to 4,802.74, 6,627.69 and 2,706.86

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Solution

The fourth proportional to 4,802.74, 6,627.69 and 2,706.86 is: 3,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.74 : 6,627.69 = 2,706.86 : x
  2. Step 2: Convert to fraction form
    4,802.74/6,627.69 = 2,706.86/x
  3. Step 3: Cross multiply
    4,802.74x = 6,627.69 × 2,706.86
  4. Step 4: Simplify right side
    4,802.74x = 17,940,245.52
  5. Step 5: Solve for x
    x = 17,940,245.52/4,802.74
  6. Step 6: Final answer
    x = 3,735.42

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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.