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Finding the Fourth Proportional to 5,984.43, 8,968.32 and 3,056.55

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Solution

The fourth proportional to 5,984.43, 8,968.32 and 3,056.55 is: 4,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.43 : 8,968.32 = 3,056.55 : x
  2. Step 2: Convert to fraction form
    5,984.43/8,968.32 = 3,056.55/x
  3. Step 3: Cross multiply
    5,984.43x = 8,968.32 × 3,056.55
  4. Step 4: Simplify right side
    5,984.43x = 27,412,118.50
  5. Step 5: Solve for x
    x = 27,412,118.50/5,984.43
  6. Step 6: Final answer
    x = 4,580.57

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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.