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Finding the Fourth Proportional to 4,462.84, 6,706.41 and 2,384.32

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Solution

The fourth proportional to 4,462.84, 6,706.41 and 2,384.32 is: 3,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.84 : 6,706.41 = 2,384.32 : x
  2. Step 2: Convert to fraction form
    4,462.84/6,706.41 = 2,384.32/x
  3. Step 3: Cross multiply
    4,462.84x = 6,706.41 × 2,384.32
  4. Step 4: Simplify right side
    4,462.84x = 15,990,227.49
  5. Step 5: Solve for x
    x = 15,990,227.49/4,462.84
  6. Step 6: Final answer
    x = 3,582.97

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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.