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Finding the Fourth Proportional to 4,802.70, 6,627.72 and 2,706.84

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Solution

The fourth proportional to 4,802.70, 6,627.72 and 2,706.84 is: 3,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.70 : 6,627.72 = 2,706.84 : x
  2. Step 2: Convert to fraction form
    4,802.70/6,627.72 = 2,706.84/x
  3. Step 3: Cross multiply
    4,802.70x = 6,627.72 × 2,706.84
  4. Step 4: Simplify right side
    4,802.70x = 17,940,177.60
  5. Step 5: Solve for x
    x = 17,940,177.60/4,802.70
  6. Step 6: Final answer
    x = 3,735.44

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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.