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Finding the Fourth Proportional to 5,656.76, 8,485.23 and 2,148.39

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Solution

The fourth proportional to 5,656.76, 8,485.23 and 2,148.39 is: 3,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.76 : 8,485.23 = 2,148.39 : x
  2. Step 2: Convert to fraction form
    5,656.76/8,485.23 = 2,148.39/x
  3. Step 3: Cross multiply
    5,656.76x = 8,485.23 × 2,148.39
  4. Step 4: Simplify right side
    5,656.76x = 18,229,583.28
  5. Step 5: Solve for x
    x = 18,229,583.28/5,656.76
  6. Step 6: Final answer
    x = 3,222.62

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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.