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Finding the Fourth Proportional to 4,234.61, 6,353.43 and 1,894.43

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Solution

The fourth proportional to 4,234.61, 6,353.43 and 1,894.43 is: 2,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.61 : 6,353.43 = 1,894.43 : x
  2. Step 2: Convert to fraction form
    4,234.61/6,353.43 = 1,894.43/x
  3. Step 3: Cross multiply
    4,234.61x = 6,353.43 × 1,894.43
  4. Step 4: Simplify right side
    4,234.61x = 12,036,096.63
  5. Step 5: Solve for x
    x = 12,036,096.63/4,234.61
  6. Step 6: Final answer
    x = 2,842.32

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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.