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Finding the Fourth Proportional to 3,189.75, 4,776.47 and 2,893.83

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Solution

The fourth proportional to 3,189.75, 4,776.47 and 2,893.83 is: 4,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.75 : 4,776.47 = 2,893.83 : x
  2. Step 2: Convert to fraction form
    3,189.75/4,776.47 = 2,893.83/x
  3. Step 3: Cross multiply
    3,189.75x = 4,776.47 × 2,893.83
  4. Step 4: Simplify right side
    3,189.75x = 13,822,277.71
  5. Step 5: Solve for x
    x = 13,822,277.71/3,189.75
  6. Step 6: Final answer
    x = 4,333.34

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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.