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Finding the Fourth Proportional to 6,338.80, 8,746.14 and 3,980.08

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Solution

The fourth proportional to 6,338.80, 8,746.14 and 3,980.08 is: 5,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.80 : 8,746.14 = 3,980.08 : x
  2. Step 2: Convert to fraction form
    6,338.80/8,746.14 = 3,980.08/x
  3. Step 3: Cross multiply
    6,338.80x = 8,746.14 × 3,980.08
  4. Step 4: Simplify right side
    6,338.80x = 34,810,336.89
  5. Step 5: Solve for x
    x = 34,810,336.89/6,338.80
  6. Step 6: Final answer
    x = 5,491.63

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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.