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Finding the Fourth Proportional to 5,703.96, 8,554.66 and 2,581.90

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Solution

The fourth proportional to 5,703.96, 8,554.66 and 2,581.90 is: 3,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.96 : 8,554.66 = 2,581.90 : x
  2. Step 2: Convert to fraction form
    5,703.96/8,554.66 = 2,581.90/x
  3. Step 3: Cross multiply
    5,703.96x = 8,554.66 × 2,581.90
  4. Step 4: Simplify right side
    5,703.96x = 22,087,276.65
  5. Step 5: Solve for x
    x = 22,087,276.65/5,703.96
  6. Step 6: Final answer
    x = 3,872.27

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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.