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Finding the Fourth Proportional to 5,846.46, 8,770.44 and 2,148

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Solution

The fourth proportional to 5,846.46, 8,770.44 and 2,148 is: 3,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.46 : 8,770.44 = 2,148 : x
  2. Step 2: Convert to fraction form
    5,846.46/8,770.44 = 2,148/x
  3. Step 3: Cross multiply
    5,846.46x = 8,770.44 × 2,148
  4. Step 4: Simplify right side
    5,846.46x = 18,838,905.12
  5. Step 5: Solve for x
    x = 18,838,905.12/5,846.46
  6. Step 6: Final answer
    x = 3,222.28

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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.