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Finding the Fourth Proportional to 5,583, 8,378.34 and 1,935

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Solution

The fourth proportional to 5,583, 8,378.34 and 1,935 is: 2,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583 : 8,378.34 = 1,935 : x
  2. Step 2: Convert to fraction form
    5,583/8,378.34 = 1,935/x
  3. Step 3: Cross multiply
    5,583x = 8,378.34 × 1,935
  4. Step 4: Simplify right side
    5,583x = 16,212,087.90
  5. Step 5: Solve for x
    x = 16,212,087.90/5,583
  6. Step 6: Final answer
    x = 2,903.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.