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Finding the Fourth Proportional to 5,084.88, 7,620.62 and 2,159.56

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Solution

The fourth proportional to 5,084.88, 7,620.62 and 2,159.56 is: 3,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.88 : 7,620.62 = 2,159.56 : x
  2. Step 2: Convert to fraction form
    5,084.88/7,620.62 = 2,159.56/x
  3. Step 3: Cross multiply
    5,084.88x = 7,620.62 × 2,159.56
  4. Step 4: Simplify right side
    5,084.88x = 16,457,186.13
  5. Step 5: Solve for x
    x = 16,457,186.13/5,084.88
  6. Step 6: Final answer
    x = 3,236.49

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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.