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Finding the Fourth Proportional to 3,504.22, 5,255.43 and 1,038.46

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Solution

The fourth proportional to 3,504.22, 5,255.43 and 1,038.46 is: 1,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.22 : 5,255.43 = 1,038.46 : x
  2. Step 2: Convert to fraction form
    3,504.22/5,255.43 = 1,038.46/x
  3. Step 3: Cross multiply
    3,504.22x = 5,255.43 × 1,038.46
  4. Step 4: Simplify right side
    3,504.22x = 5,457,550.55
  5. Step 5: Solve for x
    x = 5,457,550.55/3,504.22
  6. Step 6: Final answer
    x = 1,557.42

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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.