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Finding the Fourth Proportional to 4,802.48, 6,627.60 and 2,706.80

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Solution

The fourth proportional to 4,802.48, 6,627.60 and 2,706.80 is: 3,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.48 : 6,627.60 = 2,706.80 : x
  2. Step 2: Convert to fraction form
    4,802.48/6,627.60 = 2,706.80/x
  3. Step 3: Cross multiply
    4,802.48x = 6,627.60 × 2,706.80
  4. Step 4: Simplify right side
    4,802.48x = 17,939,587.68
  5. Step 5: Solve for x
    x = 17,939,587.68/4,802.48
  6. Step 6: Final answer
    x = 3,735.48

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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.