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Finding the Fourth Proportional to 5,984.46, 8,975.46 and 2,285.86

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Solution

The fourth proportional to 5,984.46, 8,975.46 and 2,285.86 is: 3,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.46 : 8,975.46 = 2,285.86 : x
  2. Step 2: Convert to fraction form
    5,984.46/8,975.46 = 2,285.86/x
  3. Step 3: Cross multiply
    5,984.46x = 8,975.46 × 2,285.86
  4. Step 4: Simplify right side
    5,984.46x = 20,516,645.00
  5. Step 5: Solve for x
    x = 20,516,645.00/5,984.46
  6. Step 6: Final answer
    x = 3,428.32

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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.