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Finding the Fourth Proportional to 4,677.80, 6,455.14 and 2,581.80

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Solution

The fourth proportional to 4,677.80, 6,455.14 and 2,581.80 is: 3,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.80 : 6,455.14 = 2,581.80 : x
  2. Step 2: Convert to fraction form
    4,677.80/6,455.14 = 2,581.80/x
  3. Step 3: Cross multiply
    4,677.80x = 6,455.14 × 2,581.80
  4. Step 4: Simplify right side
    4,677.80x = 16,665,880.45
  5. Step 5: Solve for x
    x = 16,665,880.45/4,677.80
  6. Step 6: Final answer
    x = 3,562.76

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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.