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Finding the Fourth Proportional to 3,675.69, 5,513.85 and 1,043.21

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Solution

The fourth proportional to 3,675.69, 5,513.85 and 1,043.21 is: 1,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.69 : 5,513.85 = 1,043.21 : x
  2. Step 2: Convert to fraction form
    3,675.69/5,513.85 = 1,043.21/x
  3. Step 3: Cross multiply
    3,675.69x = 5,513.85 × 1,043.21
  4. Step 4: Simplify right side
    3,675.69x = 5,752,075.89
  5. Step 5: Solve for x
    x = 5,752,075.89/3,675.69
  6. Step 6: Final answer
    x = 1,564.90

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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.