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Finding the Fourth Proportional to 5,838.12, 8,097.89 and 5,627.97

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Solution

The fourth proportional to 5,838.12, 8,097.89 and 5,627.97 is: 7,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.12 : 8,097.89 = 5,627.97 : x
  2. Step 2: Convert to fraction form
    5,838.12/8,097.89 = 5,627.97/x
  3. Step 3: Cross multiply
    5,838.12x = 8,097.89 × 5,627.97
  4. Step 4: Simplify right side
    5,838.12x = 45,574,653.84
  5. Step 5: Solve for x
    x = 45,574,653.84/5,838.12
  6. Step 6: Final answer
    x = 7,806.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.