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Finding the Fourth Proportional to 3,852.82, 5,317.03 and 2,174.64

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Solution

The fourth proportional to 3,852.82, 5,317.03 and 2,174.64 is: 3,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.82 : 5,317.03 = 2,174.64 : x
  2. Step 2: Convert to fraction form
    3,852.82/5,317.03 = 2,174.64/x
  3. Step 3: Cross multiply
    3,852.82x = 5,317.03 × 2,174.64
  4. Step 4: Simplify right side
    3,852.82x = 11,562,626.12
  5. Step 5: Solve for x
    x = 11,562,626.12/3,852.82
  6. Step 6: Final answer
    x = 3,001.08

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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.