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Finding the Fourth Proportional to 4,435.82, 6,641.73 and 2,971.82

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Solution

The fourth proportional to 4,435.82, 6,641.73 and 2,971.82 is: 4,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.82 : 6,641.73 = 2,971.82 : x
  2. Step 2: Convert to fraction form
    4,435.82/6,641.73 = 2,971.82/x
  3. Step 3: Cross multiply
    4,435.82x = 6,641.73 × 2,971.82
  4. Step 4: Simplify right side
    4,435.82x = 19,738,026.05
  5. Step 5: Solve for x
    x = 19,738,026.05/4,435.82
  6. Step 6: Final answer
    x = 4,449.69

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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.