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Finding the Fourth Proportional to 6,461.80, 8,917.37 and 3,809.05

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Solution

The fourth proportional to 6,461.80, 8,917.37 and 3,809.05 is: 5,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.80 : 8,917.37 = 3,809.05 : x
  2. Step 2: Convert to fraction form
    6,461.80/8,917.37 = 3,809.05/x
  3. Step 3: Cross multiply
    6,461.80x = 8,917.37 × 3,809.05
  4. Step 4: Simplify right side
    6,461.80x = 33,966,689.15
  5. Step 5: Solve for x
    x = 33,966,689.15/6,461.80
  6. Step 6: Final answer
    x = 5,256.54

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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.