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Finding the Fourth Proportional to 6,477.92, 8,937.44 and 3,826.24

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Solution

The fourth proportional to 6,477.92, 8,937.44 and 3,826.24 is: 5,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.92 : 8,937.44 = 3,826.24 : x
  2. Step 2: Convert to fraction form
    6,477.92/8,937.44 = 3,826.24/x
  3. Step 3: Cross multiply
    6,477.92x = 8,937.44 × 3,826.24
  4. Step 4: Simplify right side
    6,477.92x = 34,196,790.43
  5. Step 5: Solve for x
    x = 34,196,790.43/6,477.92
  6. Step 6: Final answer
    x = 5,278.98

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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.