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Finding the Fourth Proportional to 5,093.44, 7,641.78 and 1,630.69

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Solution

The fourth proportional to 5,093.44, 7,641.78 and 1,630.69 is: 2,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.44 : 7,641.78 = 1,630.69 : x
  2. Step 2: Convert to fraction form
    5,093.44/7,641.78 = 1,630.69/x
  3. Step 3: Cross multiply
    5,093.44x = 7,641.78 × 1,630.69
  4. Step 4: Simplify right side
    5,093.44x = 12,461,349.01
  5. Step 5: Solve for x
    x = 12,461,349.01/5,093.44
  6. Step 6: Final answer
    x = 2,446.55

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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.