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Finding the Fourth Proportional to 4,461.63, 6,691.07 and 3,083.82

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Solution

The fourth proportional to 4,461.63, 6,691.07 and 3,083.82 is: 4,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.63 : 6,691.07 = 3,083.82 : x
  2. Step 2: Convert to fraction form
    4,461.63/6,691.07 = 3,083.82/x
  3. Step 3: Cross multiply
    4,461.63x = 6,691.07 × 3,083.82
  4. Step 4: Simplify right side
    4,461.63x = 20,634,055.49
  5. Step 5: Solve for x
    x = 20,634,055.49/4,461.63
  6. Step 6: Final answer
    x = 4,624.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.