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Finding the Fourth Proportional to 5,638.98, 7,767.88 and 4,796.99

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Solution

The fourth proportional to 5,638.98, 7,767.88 and 4,796.99 is: 6,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.98 : 7,767.88 = 4,796.99 : x
  2. Step 2: Convert to fraction form
    5,638.98/7,767.88 = 4,796.99/x
  3. Step 3: Cross multiply
    5,638.98x = 7,767.88 × 4,796.99
  4. Step 4: Simplify right side
    5,638.98x = 37,262,403.84
  5. Step 5: Solve for x
    x = 37,262,403.84/5,638.98
  6. Step 6: Final answer
    x = 6,608.00

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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.