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Finding the Fourth Proportional to 3,436.41, 4,742.24 and 1,864.56

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Solution

The fourth proportional to 3,436.41, 4,742.24 and 1,864.56 is: 2,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.41 : 4,742.24 = 1,864.56 : x
  2. Step 2: Convert to fraction form
    3,436.41/4,742.24 = 1,864.56/x
  3. Step 3: Cross multiply
    3,436.41x = 4,742.24 × 1,864.56
  4. Step 4: Simplify right side
    3,436.41x = 8,842,181.69
  5. Step 5: Solve for x
    x = 8,842,181.69/3,436.41
  6. Step 6: Final answer
    x = 2,573.09

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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.