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Finding the Fourth Proportional to 5,989.50, 8,980.20 and 3,065.40

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Solution

The fourth proportional to 5,989.50, 8,980.20 and 3,065.40 is: 4,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.50 : 8,980.20 = 3,065.40 : x
  2. Step 2: Convert to fraction form
    5,989.50/8,980.20 = 3,065.40/x
  3. Step 3: Cross multiply
    5,989.50x = 8,980.20 × 3,065.40
  4. Step 4: Simplify right side
    5,989.50x = 27,527,905.08
  5. Step 5: Solve for x
    x = 27,527,905.08/5,989.50
  6. Step 6: Final answer
    x = 4,596.03

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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.