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Finding the Fourth Proportional to 5,815.36, 8,027.40 and 3,458.80

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Solution

The fourth proportional to 5,815.36, 8,027.40 and 3,458.80 is: 4,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.36 : 8,027.40 = 3,458.80 : x
  2. Step 2: Convert to fraction form
    5,815.36/8,027.40 = 3,458.80/x
  3. Step 3: Cross multiply
    5,815.36x = 8,027.40 × 3,458.80
  4. Step 4: Simplify right side
    5,815.36x = 27,765,171.12
  5. Step 5: Solve for x
    x = 27,765,171.12/5,815.36
  6. Step 6: Final answer
    x = 4,774.45

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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.