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Finding the Fourth Proportional to 5,321.65, 7,984.01 and 2,201.07

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Solution

The fourth proportional to 5,321.65, 7,984.01 and 2,201.07 is: 3,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.65 : 7,984.01 = 2,201.07 : x
  2. Step 2: Convert to fraction form
    5,321.65/7,984.01 = 2,201.07/x
  3. Step 3: Cross multiply
    5,321.65x = 7,984.01 × 2,201.07
  4. Step 4: Simplify right side
    5,321.65x = 17,573,364.89
  5. Step 5: Solve for x
    x = 17,573,364.89/5,321.65
  6. Step 6: Final answer
    x = 3,302.24

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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.