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Finding the Fourth Proportional to 3,486.44, 4,813.46 and 2,423.87

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Solution

The fourth proportional to 3,486.44, 4,813.46 and 2,423.87 is: 3,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.44 : 4,813.46 = 2,423.87 : x
  2. Step 2: Convert to fraction form
    3,486.44/4,813.46 = 2,423.87/x
  3. Step 3: Cross multiply
    3,486.44x = 4,813.46 × 2,423.87
  4. Step 4: Simplify right side
    3,486.44x = 11,667,201.29
  5. Step 5: Solve for x
    x = 11,667,201.29/3,486.44
  6. Step 6: Final answer
    x = 3,346.45

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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.