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Finding the Fourth Proportional to 5,788.36, 8,675.74 and 5,093.58

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Solution

The fourth proportional to 5,788.36, 8,675.74 and 5,093.58 is: 7,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.36 : 8,675.74 = 5,093.58 : x
  2. Step 2: Convert to fraction form
    5,788.36/8,675.74 = 5,093.58/x
  3. Step 3: Cross multiply
    5,788.36x = 8,675.74 × 5,093.58
  4. Step 4: Simplify right side
    5,788.36x = 44,190,575.75
  5. Step 5: Solve for x
    x = 44,190,575.75/5,788.36
  6. Step 6: Final answer
    x = 7,634.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.