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Finding the Fourth Proportional to 5,657.66, 8,485.94 and 3,465.26

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Solution

The fourth proportional to 5,657.66, 8,485.94 and 3,465.26 is: 5,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.66 : 8,485.94 = 3,465.26 : x
  2. Step 2: Convert to fraction form
    5,657.66/8,485.94 = 3,465.26/x
  3. Step 3: Cross multiply
    5,657.66x = 8,485.94 × 3,465.26
  4. Step 4: Simplify right side
    5,657.66x = 29,405,988.44
  5. Step 5: Solve for x
    x = 29,405,988.44/5,657.66
  6. Step 6: Final answer
    x = 5,197.55

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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.