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Finding the Fourth Proportional to 4,667.28, 6,441.59 and 2,778.95

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Solution

The fourth proportional to 4,667.28, 6,441.59 and 2,778.95 is: 3,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.28 : 6,441.59 = 2,778.95 : x
  2. Step 2: Convert to fraction form
    4,667.28/6,441.59 = 2,778.95/x
  3. Step 3: Cross multiply
    4,667.28x = 6,441.59 × 2,778.95
  4. Step 4: Simplify right side
    4,667.28x = 17,900,810.43
  5. Step 5: Solve for x
    x = 17,900,810.43/4,667.28
  6. Step 6: Final answer
    x = 3,835.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.