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Finding the Fourth Proportional to 5,261.06, 7,892.40 and 1,797.50

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Solution

The fourth proportional to 5,261.06, 7,892.40 and 1,797.50 is: 2,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.06 : 7,892.40 = 1,797.50 : x
  2. Step 2: Convert to fraction form
    5,261.06/7,892.40 = 1,797.50/x
  3. Step 3: Cross multiply
    5,261.06x = 7,892.40 × 1,797.50
  4. Step 4: Simplify right side
    5,261.06x = 14,186,589
  5. Step 5: Solve for x
    x = 14,186,589/5,261.06
  6. Step 6: Final answer
    x = 2,696.53

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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.