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Finding the Fourth Proportional to 3,950.46, 5,926.04 and 1,028.77

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Solution

The fourth proportional to 3,950.46, 5,926.04 and 1,028.77 is: 1,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.46 : 5,926.04 = 1,028.77 : x
  2. Step 2: Convert to fraction form
    3,950.46/5,926.04 = 1,028.77/x
  3. Step 3: Cross multiply
    3,950.46x = 5,926.04 × 1,028.77
  4. Step 4: Simplify right side
    3,950.46x = 6,096,532.17
  5. Step 5: Solve for x
    x = 6,096,532.17/3,950.46
  6. Step 6: Final answer
    x = 1,543.25

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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.