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Finding the Fourth Proportional to 4,098, 6,144.36 and 1,759.53

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Solution

The fourth proportional to 4,098, 6,144.36 and 1,759.53 is: 2,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 6,144.36 = 1,759.53 : x
  2. Step 2: Convert to fraction form
    4,098/6,144.36 = 1,759.53/x
  3. Step 3: Cross multiply
    4,098x = 6,144.36 × 1,759.53
  4. Step 4: Simplify right side
    4,098x = 10,811,185.75
  5. Step 5: Solve for x
    x = 10,811,185.75/4,098
  6. Step 6: Final answer
    x = 2,638.16

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