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Finding the Fourth Proportional to 5,939.60, 8,914.88 and 3,020

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Solution

The fourth proportional to 5,939.60, 8,914.88 and 3,020 is: 4,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.60 : 8,914.88 = 3,020 : x
  2. Step 2: Convert to fraction form
    5,939.60/8,914.88 = 3,020/x
  3. Step 3: Cross multiply
    5,939.60x = 8,914.88 × 3,020
  4. Step 4: Simplify right side
    5,939.60x = 26,922,937.60
  5. Step 5: Solve for x
    x = 26,922,937.60/5,939.60
  6. Step 6: Final answer
    x = 4,532.79

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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.