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Finding the Fourth Proportional to 5,769.63, 8,651.34 and 2,989.40

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Solution

The fourth proportional to 5,769.63, 8,651.34 and 2,989.40 is: 4,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.63 : 8,651.34 = 2,989.40 : x
  2. Step 2: Convert to fraction form
    5,769.63/8,651.34 = 2,989.40/x
  3. Step 3: Cross multiply
    5,769.63x = 8,651.34 × 2,989.40
  4. Step 4: Simplify right side
    5,769.63x = 25,862,344.90
  5. Step 5: Solve for x
    x = 25,862,344.90/5,769.63
  6. Step 6: Final answer
    x = 4,482.50

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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.