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Finding the Fourth Proportional to 5,782.85, 8,670.79 and 2,815.44

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Solution

The fourth proportional to 5,782.85, 8,670.79 and 2,815.44 is: 4,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.85 : 8,670.79 = 2,815.44 : x
  2. Step 2: Convert to fraction form
    5,782.85/8,670.79 = 2,815.44/x
  3. Step 3: Cross multiply
    5,782.85x = 8,670.79 × 2,815.44
  4. Step 4: Simplify right side
    5,782.85x = 24,412,089.00
  5. Step 5: Solve for x
    x = 24,412,089.00/5,782.85
  6. Step 6: Final answer
    x = 4,221.46

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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.