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Finding the Fourth Proportional to 5,583.36, 7,704.84 and 3,225.60

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Solution

The fourth proportional to 5,583.36, 7,704.84 and 3,225.60 is: 4,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.36 : 7,704.84 = 3,225.60 : x
  2. Step 2: Convert to fraction form
    5,583.36/7,704.84 = 3,225.60/x
  3. Step 3: Cross multiply
    5,583.36x = 7,704.84 × 3,225.60
  4. Step 4: Simplify right side
    5,583.36x = 24,852,731.90
  5. Step 5: Solve for x
    x = 24,852,731.90/5,583.36
  6. Step 6: Final answer
    x = 4,451.21

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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.