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Finding the Fourth Proportional to 3,898.94, 5,850.68 and 2,419.07

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Solution

The fourth proportional to 3,898.94, 5,850.68 and 2,419.07 is: 3,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.94 : 5,850.68 = 2,419.07 : x
  2. Step 2: Convert to fraction form
    3,898.94/5,850.68 = 2,419.07/x
  3. Step 3: Cross multiply
    3,898.94x = 5,850.68 × 2,419.07
  4. Step 4: Simplify right side
    3,898.94x = 14,153,176.73
  5. Step 5: Solve for x
    x = 14,153,176.73/3,898.94
  6. Step 6: Final answer
    x = 3,630.01

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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.