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Finding the Fourth Proportional to 3,651.72, 5,477.56 and 2,264.16

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Solution

The fourth proportional to 3,651.72, 5,477.56 and 2,264.16 is: 3,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.72 : 5,477.56 = 2,264.16 : x
  2. Step 2: Convert to fraction form
    3,651.72/5,477.56 = 2,264.16/x
  3. Step 3: Cross multiply
    3,651.72x = 5,477.56 × 2,264.16
  4. Step 4: Simplify right side
    3,651.72x = 12,402,072.25
  5. Step 5: Solve for x
    x = 12,402,072.25/3,651.72
  6. Step 6: Final answer
    x = 3,396.23

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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.