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Finding the Fourth Proportional to 5,342.12, 7,375.77 and 3,458.26

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Solution

The fourth proportional to 5,342.12, 7,375.77 and 3,458.26 is: 4,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.12 : 7,375.77 = 3,458.26 : x
  2. Step 2: Convert to fraction form
    5,342.12/7,375.77 = 3,458.26/x
  3. Step 3: Cross multiply
    5,342.12x = 7,375.77 × 3,458.26
  4. Step 4: Simplify right side
    5,342.12x = 25,507,330.36
  5. Step 5: Solve for x
    x = 25,507,330.36/5,342.12
  6. Step 6: Final answer
    x = 4,774.76

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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.