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Finding the Fourth Proportional to 4,548.98, 6,822.99 and 1,626.90

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Solution

The fourth proportional to 4,548.98, 6,822.99 and 1,626.90 is: 2,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.98 : 6,822.99 = 1,626.90 : x
  2. Step 2: Convert to fraction form
    4,548.98/6,822.99 = 1,626.90/x
  3. Step 3: Cross multiply
    4,548.98x = 6,822.99 × 1,626.90
  4. Step 4: Simplify right side
    4,548.98x = 11,100,322.43
  5. Step 5: Solve for x
    x = 11,100,322.43/4,548.98
  6. Step 6: Final answer
    x = 2,440.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.