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Finding the Fourth Proportional to 4,677.69, 6,455.22 and 2,581.82

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Solution

The fourth proportional to 4,677.69, 6,455.22 and 2,581.82 is: 3,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.69 : 6,455.22 = 2,581.82 : x
  2. Step 2: Convert to fraction form
    4,677.69/6,455.22 = 2,581.82/x
  3. Step 3: Cross multiply
    4,677.69x = 6,455.22 × 2,581.82
  4. Step 4: Simplify right side
    4,677.69x = 16,666,183.82
  5. Step 5: Solve for x
    x = 16,666,183.82/4,677.69
  6. Step 6: Final answer
    x = 3,562.91

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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.