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Finding the Fourth Proportional to 5,706.03, 8,559 and 3,382.14

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Solution

The fourth proportional to 5,706.03, 8,559 and 3,382.14 is: 5,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.03 : 8,559 = 3,382.14 : x
  2. Step 2: Convert to fraction form
    5,706.03/8,559 = 3,382.14/x
  3. Step 3: Cross multiply
    5,706.03x = 8,559 × 3,382.14
  4. Step 4: Simplify right side
    5,706.03x = 28,947,736.26
  5. Step 5: Solve for x
    x = 28,947,736.26/5,706.03
  6. Step 6: Final answer
    x = 5,073.18

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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.