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Finding the Fourth Proportional to 4,097.70, 6,176.74 and 3,999.30

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Solution

The fourth proportional to 4,097.70, 6,176.74 and 3,999.30 is: 6,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.70 : 6,176.74 = 3,999.30 : x
  2. Step 2: Convert to fraction form
    4,097.70/6,176.74 = 3,999.30/x
  3. Step 3: Cross multiply
    4,097.70x = 6,176.74 × 3,999.30
  4. Step 4: Simplify right side
    4,097.70x = 24,702,636.28
  5. Step 5: Solve for x
    x = 24,702,636.28/4,097.70
  6. Step 6: Final answer
    x = 6,028.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.