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Finding the Fourth Proportional to 4,677.68, 6,455.54 and 2,581.84

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Solution

The fourth proportional to 4,677.68, 6,455.54 and 2,581.84 is: 3,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.68 : 6,455.54 = 2,581.84 : x
  2. Step 2: Convert to fraction form
    4,677.68/6,455.54 = 2,581.84/x
  3. Step 3: Cross multiply
    4,677.68x = 6,455.54 × 2,581.84
  4. Step 4: Simplify right side
    4,677.68x = 16,667,171.39
  5. Step 5: Solve for x
    x = 16,667,171.39/4,677.68
  6. Step 6: Final answer
    x = 3,563.13

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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.