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Finding the Fourth Proportional to 5,538.16, 7,642.74 and 3,020.40

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Solution

The fourth proportional to 5,538.16, 7,642.74 and 3,020.40 is: 4,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.16 : 7,642.74 = 3,020.40 : x
  2. Step 2: Convert to fraction form
    5,538.16/7,642.74 = 3,020.40/x
  3. Step 3: Cross multiply
    5,538.16x = 7,642.74 × 3,020.40
  4. Step 4: Simplify right side
    5,538.16x = 23,084,131.90
  5. Step 5: Solve for x
    x = 23,084,131.90/5,538.16
  6. Step 6: Final answer
    x = 4,168.20

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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.