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Finding the Fourth Proportional to 3,852.84, 5,316.78 and 2,174.32

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Solution

The fourth proportional to 3,852.84, 5,316.78 and 2,174.32 is: 3,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.84 : 5,316.78 = 2,174.32 : x
  2. Step 2: Convert to fraction form
    3,852.84/5,316.78 = 2,174.32/x
  3. Step 3: Cross multiply
    3,852.84x = 5,316.78 × 2,174.32
  4. Step 4: Simplify right side
    3,852.84x = 11,560,381.09
  5. Step 5: Solve for x
    x = 11,560,381.09/3,852.84
  6. Step 6: Final answer
    x = 3,000.48

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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.