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Finding the Fourth Proportional to 5,582, 8,376.84 and 1,934

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Solution

The fourth proportional to 5,582, 8,376.84 and 1,934 is: 2,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582 : 8,376.84 = 1,934 : x
  2. Step 2: Convert to fraction form
    5,582/8,376.84 = 1,934/x
  3. Step 3: Cross multiply
    5,582x = 8,376.84 × 1,934
  4. Step 4: Simplify right side
    5,582x = 16,200,808.56
  5. Step 5: Solve for x
    x = 16,200,808.56/5,582
  6. Step 6: Final answer
    x = 2,902.33

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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.