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Finding the Fourth Proportional to 4,213.71, 6,315.85 and 1,578.68

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Solution

The fourth proportional to 4,213.71, 6,315.85 and 1,578.68 is: 2,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.71 : 6,315.85 = 1,578.68 : x
  2. Step 2: Convert to fraction form
    4,213.71/6,315.85 = 1,578.68/x
  3. Step 3: Cross multiply
    4,213.71x = 6,315.85 × 1,578.68
  4. Step 4: Simplify right side
    4,213.71x = 9,970,706.08
  5. Step 5: Solve for x
    x = 9,970,706.08/4,213.71
  6. Step 6: Final answer
    x = 2,366.25

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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.