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Finding the Fourth Proportional to 5,676, 8,516.84 and 3,705.48

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Solution

The fourth proportional to 5,676, 8,516.84 and 3,705.48 is: 5,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 8,516.84 = 3,705.48 : x
  2. Step 2: Convert to fraction form
    5,676/8,516.84 = 3,705.48/x
  3. Step 3: Cross multiply
    5,676x = 8,516.84 × 3,705.48
  4. Step 4: Simplify right side
    5,676x = 31,558,980.28
  5. Step 5: Solve for x
    x = 31,558,980.28/5,676
  6. Step 6: Final answer
    x = 5,560.07

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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.