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Finding the Fourth Proportional to 3,382.58, 5,074.38 and 1,042.39

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Solution

The fourth proportional to 3,382.58, 5,074.38 and 1,042.39 is: 1,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.58 : 5,074.38 = 1,042.39 : x
  2. Step 2: Convert to fraction form
    3,382.58/5,074.38 = 1,042.39/x
  3. Step 3: Cross multiply
    3,382.58x = 5,074.38 × 1,042.39
  4. Step 4: Simplify right side
    3,382.58x = 5,289,477.76
  5. Step 5: Solve for x
    x = 5,289,477.76/3,382.58
  6. Step 6: Final answer
    x = 1,563.74

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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.