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Finding the Fourth Proportional to 5,164.60, 7,745.82 and 1,699.96

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Solution

The fourth proportional to 5,164.60, 7,745.82 and 1,699.96 is: 2,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.60 : 7,745.82 = 1,699.96 : x
  2. Step 2: Convert to fraction form
    5,164.60/7,745.82 = 1,699.96/x
  3. Step 3: Cross multiply
    5,164.60x = 7,745.82 × 1,699.96
  4. Step 4: Simplify right side
    5,164.60x = 13,167,584.17
  5. Step 5: Solve for x
    x = 13,167,584.17/5,164.60
  6. Step 6: Final answer
    x = 2,549.58

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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.