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Finding the Fourth Proportional to 3,523.89, 5,285.88 and 1,333.65

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Solution

The fourth proportional to 3,523.89, 5,285.88 and 1,333.65 is: 2,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.89 : 5,285.88 = 1,333.65 : x
  2. Step 2: Convert to fraction form
    3,523.89/5,285.88 = 1,333.65/x
  3. Step 3: Cross multiply
    3,523.89x = 5,285.88 × 1,333.65
  4. Step 4: Simplify right side
    3,523.89x = 7,049,513.86
  5. Step 5: Solve for x
    x = 7,049,513.86/3,523.89
  6. Step 6: Final answer
    x = 2,000.49

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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.