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Finding the Fourth Proportional to 4,667.68, 6,447.56 and 3,458.82

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Solution

The fourth proportional to 4,667.68, 6,447.56 and 3,458.82 is: 4,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.68 : 6,447.56 = 3,458.82 : x
  2. Step 2: Convert to fraction form
    4,667.68/6,447.56 = 3,458.82/x
  3. Step 3: Cross multiply
    4,667.68x = 6,447.56 × 3,458.82
  4. Step 4: Simplify right side
    4,667.68x = 22,300,932.19
  5. Step 5: Solve for x
    x = 22,300,932.19/4,667.68
  6. Step 6: Final answer
    x = 4,777.74

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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.