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Finding the Fourth Proportional to 4,206.71, 6,310.13 and 3,424.77

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Solution

The fourth proportional to 4,206.71, 6,310.13 and 3,424.77 is: 5,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.71 : 6,310.13 = 3,424.77 : x
  2. Step 2: Convert to fraction form
    4,206.71/6,310.13 = 3,424.77/x
  3. Step 3: Cross multiply
    4,206.71x = 6,310.13 × 3,424.77
  4. Step 4: Simplify right side
    4,206.71x = 21,610,726.80
  5. Step 5: Solve for x
    x = 21,610,726.80/4,206.71
  6. Step 6: Final answer
    x = 5,137.21

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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.