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Finding the Fourth Proportional to 4,259.32, 6,380.34 and 2,203

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Solution

The fourth proportional to 4,259.32, 6,380.34 and 2,203 is: 3,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.32 : 6,380.34 = 2,203 : x
  2. Step 2: Convert to fraction form
    4,259.32/6,380.34 = 2,203/x
  3. Step 3: Cross multiply
    4,259.32x = 6,380.34 × 2,203
  4. Step 4: Simplify right side
    4,259.32x = 14,055,889.02
  5. Step 5: Solve for x
    x = 14,055,889.02/4,259.32
  6. Step 6: Final answer
    x = 3,300.03

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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.