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Finding the Fourth Proportional to 5,418.64, 7,477.76 and 3,180.56

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Solution

The fourth proportional to 5,418.64, 7,477.76 and 3,180.56 is: 4,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.64 : 7,477.76 = 3,180.56 : x
  2. Step 2: Convert to fraction form
    5,418.64/7,477.76 = 3,180.56/x
  3. Step 3: Cross multiply
    5,418.64x = 7,477.76 × 3,180.56
  4. Step 4: Simplify right side
    5,418.64x = 23,783,464.35
  5. Step 5: Solve for x
    x = 23,783,464.35/5,418.64
  6. Step 6: Final answer
    x = 4,389.19

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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.