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Finding the Fourth Proportional to 4,667.54, 6,444.37 and 3,267.86

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Solution

The fourth proportional to 4,667.54, 6,444.37 and 3,267.86 is: 4,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.54 : 6,444.37 = 3,267.86 : x
  2. Step 2: Convert to fraction form
    4,667.54/6,444.37 = 3,267.86/x
  3. Step 3: Cross multiply
    4,667.54x = 6,444.37 × 3,267.86
  4. Step 4: Simplify right side
    4,667.54x = 21,059,298.95
  5. Step 5: Solve for x
    x = 21,059,298.95/4,667.54
  6. Step 6: Final answer
    x = 4,511.86

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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.