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Finding the Fourth Proportional to 5,722.20, 8,583.30 and 5,284.80

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Solution

The fourth proportional to 5,722.20, 8,583.30 and 5,284.80 is: 7,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.20 : 8,583.30 = 5,284.80 : x
  2. Step 2: Convert to fraction form
    5,722.20/8,583.30 = 5,284.80/x
  3. Step 3: Cross multiply
    5,722.20x = 8,583.30 × 5,284.80
  4. Step 4: Simplify right side
    5,722.20x = 45,361,023.84
  5. Step 5: Solve for x
    x = 45,361,023.84/5,722.20
  6. Step 6: Final answer
    x = 7,927.20

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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.