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Finding the Fourth Proportional to 3,833.57, 5,293.78 and 2,419.76

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Solution

The fourth proportional to 3,833.57, 5,293.78 and 2,419.76 is: 3,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.57 : 5,293.78 = 2,419.76 : x
  2. Step 2: Convert to fraction form
    3,833.57/5,293.78 = 2,419.76/x
  3. Step 3: Cross multiply
    3,833.57x = 5,293.78 × 2,419.76
  4. Step 4: Simplify right side
    3,833.57x = 12,809,677.09
  5. Step 5: Solve for x
    x = 12,809,677.09/3,833.57
  6. Step 6: Final answer
    x = 3,341.45

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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.