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Finding the Fourth Proportional to 6,477.24, 8,939 and 3,682.76

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Solution

The fourth proportional to 6,477.24, 8,939 and 3,682.76 is: 5,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.24 : 8,939 = 3,682.76 : x
  2. Step 2: Convert to fraction form
    6,477.24/8,939 = 3,682.76/x
  3. Step 3: Cross multiply
    6,477.24x = 8,939 × 3,682.76
  4. Step 4: Simplify right side
    6,477.24x = 32,920,191.64
  5. Step 5: Solve for x
    x = 32,920,191.64/6,477.24
  6. Step 6: Final answer
    x = 5,082.44

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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.