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Finding the Fourth Proportional to 4,105.54, 5,672.89 and 3,041.78

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Solution

The fourth proportional to 4,105.54, 5,672.89 and 3,041.78 is: 4,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.54 : 5,672.89 = 3,041.78 : x
  2. Step 2: Convert to fraction form
    4,105.54/5,672.89 = 3,041.78/x
  3. Step 3: Cross multiply
    4,105.54x = 5,672.89 × 3,041.78
  4. Step 4: Simplify right side
    4,105.54x = 17,255,683.34
  5. Step 5: Solve for x
    x = 17,255,683.34/4,105.54
  6. Step 6: Final answer
    x = 4,203.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.