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Finding the Fourth Proportional to 3,209.82, 4,428.23 and 2,544

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Solution

The fourth proportional to 3,209.82, 4,428.23 and 2,544 is: 3,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.82 : 4,428.23 = 2,544 : x
  2. Step 2: Convert to fraction form
    3,209.82/4,428.23 = 2,544/x
  3. Step 3: Cross multiply
    3,209.82x = 4,428.23 × 2,544
  4. Step 4: Simplify right side
    3,209.82x = 11,265,417.12
  5. Step 5: Solve for x
    x = 11,265,417.12/3,209.82
  6. Step 6: Final answer
    x = 3,509.67

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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.