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Finding the Fourth Proportional to 3,796.88, 5,697.30 and 1,716.50

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Solution

The fourth proportional to 3,796.88, 5,697.30 and 1,716.50 is: 2,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.88 : 5,697.30 = 1,716.50 : x
  2. Step 2: Convert to fraction form
    3,796.88/5,697.30 = 1,716.50/x
  3. Step 3: Cross multiply
    3,796.88x = 5,697.30 × 1,716.50
  4. Step 4: Simplify right side
    3,796.88x = 9,779,415.45
  5. Step 5: Solve for x
    x = 9,779,415.45/3,796.88
  6. Step 6: Final answer
    x = 2,575.65

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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.