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Finding the Fourth Proportional to 4,407.12, 6,620.40 and 3,765.60

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Solution

The fourth proportional to 4,407.12, 6,620.40 and 3,765.60 is: 5,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.12 : 6,620.40 = 3,765.60 : x
  2. Step 2: Convert to fraction form
    4,407.12/6,620.40 = 3,765.60/x
  3. Step 3: Cross multiply
    4,407.12x = 6,620.40 × 3,765.60
  4. Step 4: Simplify right side
    4,407.12x = 24,929,778.24
  5. Step 5: Solve for x
    x = 24,929,778.24/4,407.12
  6. Step 6: Final answer
    x = 5,656.71

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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.