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Finding the Fourth Proportional to 3,435.52, 5,156.48 and 1,383.68

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Solution

The fourth proportional to 3,435.52, 5,156.48 and 1,383.68 is: 2,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.52 : 5,156.48 = 1,383.68 : x
  2. Step 2: Convert to fraction form
    3,435.52/5,156.48 = 1,383.68/x
  3. Step 3: Cross multiply
    3,435.52x = 5,156.48 × 1,383.68
  4. Step 4: Simplify right side
    3,435.52x = 7,134,918.25
  5. Step 5: Solve for x
    x = 7,134,918.25/3,435.52
  6. Step 6: Final answer
    x = 2,076.81

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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.