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Finding the Fourth Proportional to 5,538.65, 7,643.36 and 3,020.74

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Solution

The fourth proportional to 5,538.65, 7,643.36 and 3,020.74 is: 4,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.65 : 7,643.36 = 3,020.74 : x
  2. Step 2: Convert to fraction form
    5,538.65/7,643.36 = 3,020.74/x
  3. Step 3: Cross multiply
    5,538.65x = 7,643.36 × 3,020.74
  4. Step 4: Simplify right side
    5,538.65x = 23,088,634.72
  5. Step 5: Solve for x
    x = 23,088,634.72/5,538.65
  6. Step 6: Final answer
    x = 4,168.64

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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.