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Finding the Fourth Proportional to 5,689.50, 8,533.80 and 1,991.34

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Solution

The fourth proportional to 5,689.50, 8,533.80 and 1,991.34 is: 2,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.50 : 8,533.80 = 1,991.34 : x
  2. Step 2: Convert to fraction form
    5,689.50/8,533.80 = 1,991.34/x
  3. Step 3: Cross multiply
    5,689.50x = 8,533.80 × 1,991.34
  4. Step 4: Simplify right side
    5,689.50x = 16,993,697.29
  5. Step 5: Solve for x
    x = 16,993,697.29/5,689.50
  6. Step 6: Final answer
    x = 2,986.85

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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.