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Finding the Fourth Proportional to 5,657.44, 8,485.10 and 2,369.64

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Solution

The fourth proportional to 5,657.44, 8,485.10 and 2,369.64 is: 3,554.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.44 : 8,485.10 = 2,369.64 : x
  2. Step 2: Convert to fraction form
    5,657.44/8,485.10 = 2,369.64/x
  3. Step 3: Cross multiply
    5,657.44x = 8,485.10 × 2,369.64
  4. Step 4: Simplify right side
    5,657.44x = 20,106,632.36
  5. Step 5: Solve for x
    x = 20,106,632.36/5,657.44
  6. Step 6: Final answer
    x = 3,554.02

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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.