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Finding the Fourth Proportional to 6,477.04, 8,938.44 and 3,682.64

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Solution

The fourth proportional to 6,477.04, 8,938.44 and 3,682.64 is: 5,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.04 : 8,938.44 = 3,682.64 : x
  2. Step 2: Convert to fraction form
    6,477.04/8,938.44 = 3,682.64/x
  3. Step 3: Cross multiply
    6,477.04x = 8,938.44 × 3,682.64
  4. Step 4: Simplify right side
    6,477.04x = 32,917,056.68
  5. Step 5: Solve for x
    x = 32,917,056.68/6,477.04
  6. Step 6: Final answer
    x = 5,082.11

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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.