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Finding the Fourth Proportional to 5,975, 8,246.24 and 3,491

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Solution

The fourth proportional to 5,975, 8,246.24 and 3,491 is: 4,818.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975 : 8,246.24 = 3,491 : x
  2. Step 2: Convert to fraction form
    5,975/8,246.24 = 3,491/x
  3. Step 3: Cross multiply
    5,975x = 8,246.24 × 3,491
  4. Step 4: Simplify right side
    5,975x = 28,787,623.84
  5. Step 5: Solve for x
    x = 28,787,623.84/5,975
  6. Step 6: Final answer
    x = 4,818.01

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