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Finding the Fourth Proportional to 5,936, 8,904.12 and 1,832

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Solution

The fourth proportional to 5,936, 8,904.12 and 1,832 is: 2,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936 : 8,904.12 = 1,832 : x
  2. Step 2: Convert to fraction form
    5,936/8,904.12 = 1,832/x
  3. Step 3: Cross multiply
    5,936x = 8,904.12 × 1,832
  4. Step 4: Simplify right side
    5,936x = 16,312,347.84
  5. Step 5: Solve for x
    x = 16,312,347.84/5,936
  6. Step 6: Final answer
    x = 2,748.04

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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.