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Finding the Fourth Proportional to 5,538.24, 7,642.24 and 3,054.08

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Solution

The fourth proportional to 5,538.24, 7,642.24 and 3,054.08 is: 4,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.24 : 7,642.24 = 3,054.08 : x
  2. Step 2: Convert to fraction form
    5,538.24/7,642.24 = 3,054.08/x
  3. Step 3: Cross multiply
    5,538.24x = 7,642.24 × 3,054.08
  4. Step 4: Simplify right side
    5,538.24x = 23,340,012.34
  5. Step 5: Solve for x
    x = 23,340,012.34/5,538.24
  6. Step 6: Final answer
    x = 4,214.34

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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.