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Finding the Fourth Proportional to 5,538.84, 7,643.70 and 3,020.98

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Solution

The fourth proportional to 5,538.84, 7,643.70 and 3,020.98 is: 4,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.84 : 7,643.70 = 3,020.98 : x
  2. Step 2: Convert to fraction form
    5,538.84/7,643.70 = 3,020.98/x
  3. Step 3: Cross multiply
    5,538.84x = 7,643.70 × 3,020.98
  4. Step 4: Simplify right side
    5,538.84x = 23,091,464.83
  5. Step 5: Solve for x
    x = 23,091,464.83/5,538.84
  6. Step 6: Final answer
    x = 4,169.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.