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Finding the Fourth Proportional to 3,569.21, 5,352.49 and 1,228.56

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Solution

The fourth proportional to 3,569.21, 5,352.49 and 1,228.56 is: 1,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.21 : 5,352.49 = 1,228.56 : x
  2. Step 2: Convert to fraction form
    3,569.21/5,352.49 = 1,228.56/x
  3. Step 3: Cross multiply
    3,569.21x = 5,352.49 × 1,228.56
  4. Step 4: Simplify right side
    3,569.21x = 6,575,855.11
  5. Step 5: Solve for x
    x = 6,575,855.11/3,569.21
  6. Step 6: Final answer
    x = 1,842.38

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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.