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Finding the Fourth Proportional to 4,077.96, 5,627.20 and 2,309.20

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Solution

The fourth proportional to 4,077.96, 5,627.20 and 2,309.20 is: 3,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.96 : 5,627.20 = 2,309.20 : x
  2. Step 2: Convert to fraction form
    4,077.96/5,627.20 = 2,309.20/x
  3. Step 3: Cross multiply
    4,077.96x = 5,627.20 × 2,309.20
  4. Step 4: Simplify right side
    4,077.96x = 12,994,330.24
  5. Step 5: Solve for x
    x = 12,994,330.24/4,077.96
  6. Step 6: Final answer
    x = 3,186.48

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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.