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Finding the Fourth Proportional to 4,788.66, 7,189.07 and 4,591.83

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Solution

The fourth proportional to 4,788.66, 7,189.07 and 4,591.83 is: 6,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.66 : 7,189.07 = 4,591.83 : x
  2. Step 2: Convert to fraction form
    4,788.66/7,189.07 = 4,591.83/x
  3. Step 3: Cross multiply
    4,788.66x = 7,189.07 × 4,591.83
  4. Step 4: Simplify right side
    4,788.66x = 33,010,964.34
  5. Step 5: Solve for x
    x = 33,010,964.34/4,788.66
  6. Step 6: Final answer
    x = 6,893.57

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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.