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Finding the Fourth Proportional to 3,948.22, 5,919.63 and 1,482.58

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Solution

The fourth proportional to 3,948.22, 5,919.63 and 1,482.58 is: 2,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.22 : 5,919.63 = 1,482.58 : x
  2. Step 2: Convert to fraction form
    3,948.22/5,919.63 = 1,482.58/x
  3. Step 3: Cross multiply
    3,948.22x = 5,919.63 × 1,482.58
  4. Step 4: Simplify right side
    3,948.22x = 8,776,325.05
  5. Step 5: Solve for x
    x = 8,776,325.05/3,948.22
  6. Step 6: Final answer
    x = 2,222.86

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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.