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Finding the Fourth Proportional to 3,645.40, 5,466.74 and 2,866.92

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Solution

The fourth proportional to 3,645.40, 5,466.74 and 2,866.92 is: 4,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.40 : 5,466.74 = 2,866.92 : x
  2. Step 2: Convert to fraction form
    3,645.40/5,466.74 = 2,866.92/x
  3. Step 3: Cross multiply
    3,645.40x = 5,466.74 × 2,866.92
  4. Step 4: Simplify right side
    3,645.40x = 15,672,706.24
  5. Step 5: Solve for x
    x = 15,672,706.24/3,645.40
  6. Step 6: Final answer
    x = 4,299.31

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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.