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Finding the Fourth Proportional to 3,580.43, 5,370.73 and 1,389.65

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Solution

The fourth proportional to 3,580.43, 5,370.73 and 1,389.65 is: 2,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.43 : 5,370.73 = 1,389.65 : x
  2. Step 2: Convert to fraction form
    3,580.43/5,370.73 = 1,389.65/x
  3. Step 3: Cross multiply
    3,580.43x = 5,370.73 × 1,389.65
  4. Step 4: Simplify right side
    3,580.43x = 7,463,404.62
  5. Step 5: Solve for x
    x = 7,463,404.62/3,580.43
  6. Step 6: Final answer
    x = 2,084.50

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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.