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Finding the Fourth Proportional to 5,665.46, 8,498.20 and 1,770.18

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Solution

The fourth proportional to 5,665.46, 8,498.20 and 1,770.18 is: 2,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.46 : 8,498.20 = 1,770.18 : x
  2. Step 2: Convert to fraction form
    5,665.46/8,498.20 = 1,770.18/x
  3. Step 3: Cross multiply
    5,665.46x = 8,498.20 × 1,770.18
  4. Step 4: Simplify right side
    5,665.46x = 15,043,343.68
  5. Step 5: Solve for x
    x = 15,043,343.68/5,665.46
  6. Step 6: Final answer
    x = 2,655.27

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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.