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Finding the Fourth Proportional to 3,833.60, 5,293.74 and 2,419.82

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Solution

The fourth proportional to 3,833.60, 5,293.74 and 2,419.82 is: 3,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.60 : 5,293.74 = 2,419.82 : x
  2. Step 2: Convert to fraction form
    3,833.60/5,293.74 = 2,419.82/x
  3. Step 3: Cross multiply
    3,833.60x = 5,293.74 × 2,419.82
  4. Step 4: Simplify right side
    3,833.60x = 12,809,897.93
  5. Step 5: Solve for x
    x = 12,809,897.93/3,833.60
  6. Step 6: Final answer
    x = 3,341.48

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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.