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Finding the Fourth Proportional to 4,234.88, 6,349.75 and 1,894.45

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Solution

The fourth proportional to 4,234.88, 6,349.75 and 1,894.45 is: 2,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.88 : 6,349.75 = 1,894.45 : x
  2. Step 2: Convert to fraction form
    4,234.88/6,349.75 = 1,894.45/x
  3. Step 3: Cross multiply
    4,234.88x = 6,349.75 × 1,894.45
  4. Step 4: Simplify right side
    4,234.88x = 12,029,285.84
  5. Step 5: Solve for x
    x = 12,029,285.84/4,234.88
  6. Step 6: Final answer
    x = 2,840.52

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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.