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Finding the Fourth Proportional to 3,503.62, 5,255.94 and 1,038.12

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Solution

The fourth proportional to 3,503.62, 5,255.94 and 1,038.12 is: 1,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.62 : 5,255.94 = 1,038.12 : x
  2. Step 2: Convert to fraction form
    3,503.62/5,255.94 = 1,038.12/x
  3. Step 3: Cross multiply
    3,503.62x = 5,255.94 × 1,038.12
  4. Step 4: Simplify right side
    3,503.62x = 5,456,296.43
  5. Step 5: Solve for x
    x = 5,456,296.43/3,503.62
  6. Step 6: Final answer
    x = 1,557.33

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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.