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Finding the Fourth Proportional to 4,696.14, 7,041.24 and 4,000.08

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Solution

The fourth proportional to 4,696.14, 7,041.24 and 4,000.08 is: 5,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.14 : 7,041.24 = 4,000.08 : x
  2. Step 2: Convert to fraction form
    4,696.14/7,041.24 = 4,000.08/x
  3. Step 3: Cross multiply
    4,696.14x = 7,041.24 × 4,000.08
  4. Step 4: Simplify right side
    4,696.14x = 28,165,523.30
  5. Step 5: Solve for x
    x = 28,165,523.30/4,696.14
  6. Step 6: Final answer
    x = 5,997.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.