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Finding the Fourth Proportional to 3,929.68, 5,886.04 and 1,846.56

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Solution

The fourth proportional to 3,929.68, 5,886.04 and 1,846.56 is: 2,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.68 : 5,886.04 = 1,846.56 : x
  2. Step 2: Convert to fraction form
    3,929.68/5,886.04 = 1,846.56/x
  3. Step 3: Cross multiply
    3,929.68x = 5,886.04 × 1,846.56
  4. Step 4: Simplify right side
    3,929.68x = 10,868,926.02
  5. Step 5: Solve for x
    x = 10,868,926.02/3,929.68
  6. Step 6: Final answer
    x = 2,765.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.