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Finding the Fourth Proportional to 5,700.74, 8,554.96 and 2,003

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Solution

The fourth proportional to 5,700.74, 8,554.96 and 2,003 is: 3,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.74 : 8,554.96 = 2,003 : x
  2. Step 2: Convert to fraction form
    5,700.74/8,554.96 = 2,003/x
  3. Step 3: Cross multiply
    5,700.74x = 8,554.96 × 2,003
  4. Step 4: Simplify right side
    5,700.74x = 17,135,584.88
  5. Step 5: Solve for x
    x = 17,135,584.88/5,700.74
  6. Step 6: Final answer
    x = 3,005.85

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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.