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Finding the Fourth Proportional to 5,677.83, 7,833.23 and 4,189.30

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Solution

The fourth proportional to 5,677.83, 7,833.23 and 4,189.30 is: 5,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.83 : 7,833.23 = 4,189.30 : x
  2. Step 2: Convert to fraction form
    5,677.83/7,833.23 = 4,189.30/x
  3. Step 3: Cross multiply
    5,677.83x = 7,833.23 × 4,189.30
  4. Step 4: Simplify right side
    5,677.83x = 32,815,725.62
  5. Step 5: Solve for x
    x = 32,815,725.62/5,677.83
  6. Step 6: Final answer
    x = 5,779.62

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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.