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Finding the Fourth Proportional to 6,340.98, 8,741.25 and 4,446.83

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Solution

The fourth proportional to 6,340.98, 8,741.25 and 4,446.83 is: 6,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.98 : 8,741.25 = 4,446.83 : x
  2. Step 2: Convert to fraction form
    6,340.98/8,741.25 = 4,446.83/x
  3. Step 3: Cross multiply
    6,340.98x = 8,741.25 × 4,446.83
  4. Step 4: Simplify right side
    6,340.98x = 38,870,874.59
  5. Step 5: Solve for x
    x = 38,870,874.59/6,340.98
  6. Step 6: Final answer
    x = 6,130.10

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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.