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Finding the Fourth Proportional to 5,143.45, 7,098.38 and 2,905.87

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Solution

The fourth proportional to 5,143.45, 7,098.38 and 2,905.87 is: 4,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.45 : 7,098.38 = 2,905.87 : x
  2. Step 2: Convert to fraction form
    5,143.45/7,098.38 = 2,905.87/x
  3. Step 3: Cross multiply
    5,143.45x = 7,098.38 × 2,905.87
  4. Step 4: Simplify right side
    5,143.45x = 20,626,969.49
  5. Step 5: Solve for x
    x = 20,626,969.49/5,143.45
  6. Step 6: Final answer
    x = 4,010.34

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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.