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Finding the Fourth Proportional to 3,706.44, 5,565.20 and 2,328.50

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Solution

The fourth proportional to 3,706.44, 5,565.20 and 2,328.50 is: 3,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.44 : 5,565.20 = 2,328.50 : x
  2. Step 2: Convert to fraction form
    3,706.44/5,565.20 = 2,328.50/x
  3. Step 3: Cross multiply
    3,706.44x = 5,565.20 × 2,328.50
  4. Step 4: Simplify right side
    3,706.44x = 12,958,528.73
  5. Step 5: Solve for x
    x = 12,958,528.73/3,706.44
  6. Step 6: Final answer
    x = 3,496.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.