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Finding the Fourth Proportional to 5,043, 6,960.30 and 2,835

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Solution

The fourth proportional to 5,043, 6,960.30 and 2,835 is: 3,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043 : 6,960.30 = 2,835 : x
  2. Step 2: Convert to fraction form
    5,043/6,960.30 = 2,835/x
  3. Step 3: Cross multiply
    5,043x = 6,960.30 × 2,835
  4. Step 4: Simplify right side
    5,043x = 19,732,450.50
  5. Step 5: Solve for x
    x = 19,732,450.50/5,043
  6. Step 6: Final answer
    x = 3,912.84

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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.