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Finding the Fourth Proportional to 4,802.92, 6,627.84 and 2,678.34

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Solution

The fourth proportional to 4,802.92, 6,627.84 and 2,678.34 is: 3,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.92 : 6,627.84 = 2,678.34 : x
  2. Step 2: Convert to fraction form
    4,802.92/6,627.84 = 2,678.34/x
  3. Step 3: Cross multiply
    4,802.92x = 6,627.84 × 2,678.34
  4. Step 4: Simplify right side
    4,802.92x = 17,751,608.99
  5. Step 5: Solve for x
    x = 17,751,608.99/4,802.92
  6. Step 6: Final answer
    x = 3,696.00

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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.