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Finding the Fourth Proportional to 4,806, 6,626.27 and 4,010.47

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Solution

The fourth proportional to 4,806, 6,626.27 and 4,010.47 is: 5,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 6,626.27 = 4,010.47 : x
  2. Step 2: Convert to fraction form
    4,806/6,626.27 = 4,010.47/x
  3. Step 3: Cross multiply
    4,806x = 6,626.27 × 4,010.47
  4. Step 4: Simplify right side
    4,806x = 26,574,450.51
  5. Step 5: Solve for x
    x = 26,574,450.51/4,806
  6. Step 6: Final answer
    x = 5,529.43

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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.