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Finding the Fourth Proportional to 5,657.61, 8,485.11 and 2,148.02

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Solution

The fourth proportional to 5,657.61, 8,485.11 and 2,148.02 is: 3,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.61 : 8,485.11 = 2,148.02 : x
  2. Step 2: Convert to fraction form
    5,657.61/8,485.11 = 2,148.02/x
  3. Step 3: Cross multiply
    5,657.61x = 8,485.11 × 2,148.02
  4. Step 4: Simplify right side
    5,657.61x = 18,226,185.98
  5. Step 5: Solve for x
    x = 18,226,185.98/5,657.61
  6. Step 6: Final answer
    x = 3,221.53

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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.