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Finding the Fourth Proportional to 3,543, 4,889.43 and 1,971.06

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Solution

The fourth proportional to 3,543, 4,889.43 and 1,971.06 is: 2,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543 : 4,889.43 = 1,971.06 : x
  2. Step 2: Convert to fraction form
    3,543/4,889.43 = 1,971.06/x
  3. Step 3: Cross multiply
    3,543x = 4,889.43 × 1,971.06
  4. Step 4: Simplify right side
    3,543x = 9,637,359.90
  5. Step 5: Solve for x
    x = 9,637,359.90/3,543
  6. Step 6: Final answer
    x = 2,720.11

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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.