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Finding the Fourth Proportional to 4,448.34, 6,667.71 and 2,366.25

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Solution

The fourth proportional to 4,448.34, 6,667.71 and 2,366.25 is: 3,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.34 : 6,667.71 = 2,366.25 : x
  2. Step 2: Convert to fraction form
    4,448.34/6,667.71 = 2,366.25/x
  3. Step 3: Cross multiply
    4,448.34x = 6,667.71 × 2,366.25
  4. Step 4: Simplify right side
    4,448.34x = 15,777,468.79
  5. Step 5: Solve for x
    x = 15,777,468.79/4,448.34
  6. Step 6: Final answer
    x = 3,546.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.