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Finding the Fourth Proportional to 5,929.20, 8,893.80 and 5,842.80

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Solution

The fourth proportional to 5,929.20, 8,893.80 and 5,842.80 is: 8,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.20 : 8,893.80 = 5,842.80 : x
  2. Step 2: Convert to fraction form
    5,929.20/8,893.80 = 5,842.80/x
  3. Step 3: Cross multiply
    5,929.20x = 8,893.80 × 5,842.80
  4. Step 4: Simplify right side
    5,929.20x = 51,964,694.64
  5. Step 5: Solve for x
    x = 51,964,694.64/5,929.20
  6. Step 6: Final answer
    x = 8,764.20

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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.