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Finding the Fourth Proportional to 5,009.46, 6,913.17 and 2,771.38

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Solution

The fourth proportional to 5,009.46, 6,913.17 and 2,771.38 is: 3,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.46 : 6,913.17 = 2,771.38 : x
  2. Step 2: Convert to fraction form
    5,009.46/6,913.17 = 2,771.38/x
  3. Step 3: Cross multiply
    5,009.46x = 6,913.17 × 2,771.38
  4. Step 4: Simplify right side
    5,009.46x = 19,159,021.07
  5. Step 5: Solve for x
    x = 19,159,021.07/5,009.46
  6. Step 6: Final answer
    x = 3,824.57

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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.