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Finding the Fourth Proportional to 5,707.50, 8,554.82 and 4,316.33

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Solution

The fourth proportional to 5,707.50, 8,554.82 and 4,316.33 is: 6,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.50 : 8,554.82 = 4,316.33 : x
  2. Step 2: Convert to fraction form
    5,707.50/8,554.82 = 4,316.33/x
  3. Step 3: Cross multiply
    5,707.50x = 8,554.82 × 4,316.33
  4. Step 4: Simplify right side
    5,707.50x = 36,925,361.85
  5. Step 5: Solve for x
    x = 36,925,361.85/5,707.50
  6. Step 6: Final answer
    x = 6,469.62

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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.