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Finding the Fourth Proportional to 3,926.86, 5,891.64 and 1,977.46

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Solution

The fourth proportional to 3,926.86, 5,891.64 and 1,977.46 is: 2,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.86 : 5,891.64 = 1,977.46 : x
  2. Step 2: Convert to fraction form
    3,926.86/5,891.64 = 1,977.46/x
  3. Step 3: Cross multiply
    3,926.86x = 5,891.64 × 1,977.46
  4. Step 4: Simplify right side
    3,926.86x = 11,650,482.43
  5. Step 5: Solve for x
    x = 11,650,482.43/3,926.86
  6. Step 6: Final answer
    x = 2,966.87

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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.