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Finding the Fourth Proportional to 4,667.32, 6,434.94 and 3,824.92

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Solution

The fourth proportional to 4,667.32, 6,434.94 and 3,824.92 is: 5,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.32 : 6,434.94 = 3,824.92 : x
  2. Step 2: Convert to fraction form
    4,667.32/6,434.94 = 3,824.92/x
  3. Step 3: Cross multiply
    4,667.32x = 6,434.94 × 3,824.92
  4. Step 4: Simplify right side
    4,667.32x = 24,613,130.70
  5. Step 5: Solve for x
    x = 24,613,130.70/4,667.32
  6. Step 6: Final answer
    x = 5,273.50

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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.