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Finding the Fourth Proportional to 5,780.94, 8,662.87 and 2,653.23

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Solution

The fourth proportional to 5,780.94, 8,662.87 and 2,653.23 is: 3,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.94 : 8,662.87 = 2,653.23 : x
  2. Step 2: Convert to fraction form
    5,780.94/8,662.87 = 2,653.23/x
  3. Step 3: Cross multiply
    5,780.94x = 8,662.87 × 2,653.23
  4. Step 4: Simplify right side
    5,780.94x = 22,984,586.57
  5. Step 5: Solve for x
    x = 22,984,586.57/5,780.94
  6. Step 6: Final answer
    x = 3,975.93

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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.