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Finding the Fourth Proportional to 4,677.45, 6,455.02 and 2,581.71

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Solution

The fourth proportional to 4,677.45, 6,455.02 and 2,581.71 is: 3,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.45 : 6,455.02 = 2,581.71 : x
  2. Step 2: Convert to fraction form
    4,677.45/6,455.02 = 2,581.71/x
  3. Step 3: Cross multiply
    4,677.45x = 6,455.02 × 2,581.71
  4. Step 4: Simplify right side
    4,677.45x = 16,664,989.68
  5. Step 5: Solve for x
    x = 16,664,989.68/4,677.45
  6. Step 6: Final answer
    x = 3,562.84

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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.