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Finding the Fourth Proportional to 4,941.17, 6,819.47 and 2,817.47

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Solution

The fourth proportional to 4,941.17, 6,819.47 and 2,817.47 is: 3,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.17 : 6,819.47 = 2,817.47 : x
  2. Step 2: Convert to fraction form
    4,941.17/6,819.47 = 2,817.47/x
  3. Step 3: Cross multiply
    4,941.17x = 6,819.47 × 2,817.47
  4. Step 4: Simplify right side
    4,941.17x = 19,213,619.38
  5. Step 5: Solve for x
    x = 19,213,619.38/4,941.17
  6. Step 6: Final answer
    x = 3,888.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.