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Finding the Fourth Proportional to 3,504.12, 5,257.19 and 1,039

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Solution

The fourth proportional to 3,504.12, 5,257.19 and 1,039 is: 1,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.12 : 5,257.19 = 1,039 : x
  2. Step 2: Convert to fraction form
    3,504.12/5,257.19 = 1,039/x
  3. Step 3: Cross multiply
    3,504.12x = 5,257.19 × 1,039
  4. Step 4: Simplify right side
    3,504.12x = 5,462,220.41
  5. Step 5: Solve for x
    x = 5,462,220.41/3,504.12
  6. Step 6: Final answer
    x = 1,558.80

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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.