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Finding the Fourth Proportional to 4,328.34, 5,971.79 and 2,647.97

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Solution

The fourth proportional to 4,328.34, 5,971.79 and 2,647.97 is: 3,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.34 : 5,971.79 = 2,647.97 : x
  2. Step 2: Convert to fraction form
    4,328.34/5,971.79 = 2,647.97/x
  3. Step 3: Cross multiply
    4,328.34x = 5,971.79 × 2,647.97
  4. Step 4: Simplify right side
    4,328.34x = 15,813,077.67
  5. Step 5: Solve for x
    x = 15,813,077.67/4,328.34
  6. Step 6: Final answer
    x = 3,653.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.