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Finding the Fourth Proportional to 6,219.60, 8,583.12 and 3,567

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Solution

The fourth proportional to 6,219.60, 8,583.12 and 3,567 is: 4,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.60 : 8,583.12 = 3,567 : x
  2. Step 2: Convert to fraction form
    6,219.60/8,583.12 = 3,567/x
  3. Step 3: Cross multiply
    6,219.60x = 8,583.12 × 3,567
  4. Step 4: Simplify right side
    6,219.60x = 30,615,989.04
  5. Step 5: Solve for x
    x = 30,615,989.04/6,219.60
  6. Step 6: Final answer
    x = 4,922.50

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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.