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Finding the Fourth Proportional to 4,873.82, 7,309.97 and 1,586.44

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Solution

The fourth proportional to 4,873.82, 7,309.97 and 1,586.44 is: 2,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.82 : 7,309.97 = 1,586.44 : x
  2. Step 2: Convert to fraction form
    4,873.82/7,309.97 = 1,586.44/x
  3. Step 3: Cross multiply
    4,873.82x = 7,309.97 × 1,586.44
  4. Step 4: Simplify right side
    4,873.82x = 11,596,784.32
  5. Step 5: Solve for x
    x = 11,596,784.32/4,873.82
  6. Step 6: Final answer
    x = 2,379.40

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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.