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Finding the Fourth Proportional to 4,696.43, 6,478.35 and 2,782.80

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Solution

The fourth proportional to 4,696.43, 6,478.35 and 2,782.80 is: 3,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.43 : 6,478.35 = 2,782.80 : x
  2. Step 2: Convert to fraction form
    4,696.43/6,478.35 = 2,782.80/x
  3. Step 3: Cross multiply
    4,696.43x = 6,478.35 × 2,782.80
  4. Step 4: Simplify right side
    4,696.43x = 18,027,941.94
  5. Step 5: Solve for x
    x = 18,027,941.94/4,696.43
  6. Step 6: Final answer
    x = 3,838.65

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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.