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Finding the Fourth Proportional to 3,234.42, 4,847.07 and 1,284.34

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Solution

The fourth proportional to 3,234.42, 4,847.07 and 1,284.34 is: 1,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.42 : 4,847.07 = 1,284.34 : x
  2. Step 2: Convert to fraction form
    3,234.42/4,847.07 = 1,284.34/x
  3. Step 3: Cross multiply
    3,234.42x = 4,847.07 × 1,284.34
  4. Step 4: Simplify right side
    3,234.42x = 6,225,285.88
  5. Step 5: Solve for x
    x = 6,225,285.88/3,234.42
  6. Step 6: Final answer
    x = 1,924.70

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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.