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Finding the Fourth Proportional to 4,800.14, 7,201.05 and 2,203.34

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Solution

The fourth proportional to 4,800.14, 7,201.05 and 2,203.34 is: 3,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.14 : 7,201.05 = 2,203.34 : x
  2. Step 2: Convert to fraction form
    4,800.14/7,201.05 = 2,203.34/x
  3. Step 3: Cross multiply
    4,800.14x = 7,201.05 × 2,203.34
  4. Step 4: Simplify right side
    4,800.14x = 15,866,361.51
  5. Step 5: Solve for x
    x = 15,866,361.51/4,800.14
  6. Step 6: Final answer
    x = 3,305.40

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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.