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Finding the Fourth Proportional to 3,666.84, 5,500.27 and 893.51

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Solution

The fourth proportional to 3,666.84, 5,500.27 and 893.51 is: 1,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.84 : 5,500.27 = 893.51 : x
  2. Step 2: Convert to fraction form
    3,666.84/5,500.27 = 893.51/x
  3. Step 3: Cross multiply
    3,666.84x = 5,500.27 × 893.51
  4. Step 4: Simplify right side
    3,666.84x = 4,914,546.25
  5. Step 5: Solve for x
    x = 4,914,546.25/3,666.84
  6. Step 6: Final answer
    x = 1,340.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.