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Finding the Fourth Proportional to 4,616.46, 6,891.42 and 4,288.41

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Solution

The fourth proportional to 4,616.46, 6,891.42 and 4,288.41 is: 6,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.46 : 6,891.42 = 4,288.41 : x
  2. Step 2: Convert to fraction form
    4,616.46/6,891.42 = 4,288.41/x
  3. Step 3: Cross multiply
    4,616.46x = 6,891.42 × 4,288.41
  4. Step 4: Simplify right side
    4,616.46x = 29,553,210.71
  5. Step 5: Solve for x
    x = 29,553,210.71/4,616.46
  6. Step 6: Final answer
    x = 6,401.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.