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Finding the Fourth Proportional to 4,100.40, 5,608.80 and 4,003.20

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Solution

The fourth proportional to 4,100.40, 5,608.80 and 4,003.20 is: 5,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.40 : 5,608.80 = 4,003.20 : x
  2. Step 2: Convert to fraction form
    4,100.40/5,608.80 = 4,003.20/x
  3. Step 3: Cross multiply
    4,100.40x = 5,608.80 × 4,003.20
  4. Step 4: Simplify right side
    4,100.40x = 22,453,148.16
  5. Step 5: Solve for x
    x = 22,453,148.16/4,100.40
  6. Step 6: Final answer
    x = 5,475.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.