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Finding the Fourth Proportional to 3,898.52, 5,850.09 and 1,435.07

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Solution

The fourth proportional to 3,898.52, 5,850.09 and 1,435.07 is: 2,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.52 : 5,850.09 = 1,435.07 : x
  2. Step 2: Convert to fraction form
    3,898.52/5,850.09 = 1,435.07/x
  3. Step 3: Cross multiply
    3,898.52x = 5,850.09 × 1,435.07
  4. Step 4: Simplify right side
    3,898.52x = 8,395,273.40
  5. Step 5: Solve for x
    x = 8,395,273.40/3,898.52
  6. Step 6: Final answer
    x = 2,153.45

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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.