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Finding the Fourth Proportional to 5,706.39, 8,563.02 and 2,011.38

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Solution

The fourth proportional to 5,706.39, 8,563.02 and 2,011.38 is: 3,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.39 : 8,563.02 = 2,011.38 : x
  2. Step 2: Convert to fraction form
    5,706.39/8,563.02 = 2,011.38/x
  3. Step 3: Cross multiply
    5,706.39x = 8,563.02 × 2,011.38
  4. Step 4: Simplify right side
    5,706.39x = 17,223,487.17
  5. Step 5: Solve for x
    x = 17,223,487.17/5,706.39
  6. Step 6: Final answer
    x = 3,018.28

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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.