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Finding the Fourth Proportional to 5,984.63, 8,978.23 and 1,824.53

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Solution

The fourth proportional to 5,984.63, 8,978.23 and 1,824.53 is: 2,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.63 : 8,978.23 = 1,824.53 : x
  2. Step 2: Convert to fraction form
    5,984.63/8,978.23 = 1,824.53/x
  3. Step 3: Cross multiply
    5,984.63x = 8,978.23 × 1,824.53
  4. Step 4: Simplify right side
    5,984.63x = 16,381,005.09
  5. Step 5: Solve for x
    x = 16,381,005.09/5,984.63
  6. Step 6: Final answer
    x = 2,737.18

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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.