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Finding the Fourth Proportional to 3,835.71, 5,293.08 and 2,419.65

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Solution

The fourth proportional to 3,835.71, 5,293.08 and 2,419.65 is: 3,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.71 : 5,293.08 = 2,419.65 : x
  2. Step 2: Convert to fraction form
    3,835.71/5,293.08 = 2,419.65/x
  3. Step 3: Cross multiply
    3,835.71x = 5,293.08 × 2,419.65
  4. Step 4: Simplify right side
    3,835.71x = 12,807,401.02
  5. Step 5: Solve for x
    x = 12,807,401.02/3,835.71
  6. Step 6: Final answer
    x = 3,338.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.