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Finding the Fourth Proportional to 4,122.86, 6,184.30 and 1,933.12

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Solution

The fourth proportional to 4,122.86, 6,184.30 and 1,933.12 is: 2,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.86 : 6,184.30 = 1,933.12 : x
  2. Step 2: Convert to fraction form
    4,122.86/6,184.30 = 1,933.12/x
  3. Step 3: Cross multiply
    4,122.86x = 6,184.30 × 1,933.12
  4. Step 4: Simplify right side
    4,122.86x = 11,954,994.02
  5. Step 5: Solve for x
    x = 11,954,994.02/4,122.86
  6. Step 6: Final answer
    x = 2,899.68

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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.