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Finding the Fourth Proportional to 3,852.94, 5,317.36 and 2,174.36

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Solution

The fourth proportional to 3,852.94, 5,317.36 and 2,174.36 is: 3,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.94 : 5,317.36 = 2,174.36 : x
  2. Step 2: Convert to fraction form
    3,852.94/5,317.36 = 2,174.36/x
  3. Step 3: Cross multiply
    3,852.94x = 5,317.36 × 2,174.36
  4. Step 4: Simplify right side
    3,852.94x = 11,561,854.89
  5. Step 5: Solve for x
    x = 11,561,854.89/3,852.94
  6. Step 6: Final answer
    x = 3,000.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.