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Finding the Fourth Proportional to 4,802.90, 6,627.74 and 2,813.63

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Solution

The fourth proportional to 4,802.90, 6,627.74 and 2,813.63 is: 3,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.90 : 6,627.74 = 2,813.63 : x
  2. Step 2: Convert to fraction form
    4,802.90/6,627.74 = 2,813.63/x
  3. Step 3: Cross multiply
    4,802.90x = 6,627.74 × 2,813.63
  4. Step 4: Simplify right side
    4,802.90x = 18,647,960.89
  5. Step 5: Solve for x
    x = 18,647,960.89/4,802.90
  6. Step 6: Final answer
    x = 3,882.65

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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.