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Finding the Fourth Proportional to 4,667.53, 6,440.71 and 2,874.72

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Solution

The fourth proportional to 4,667.53, 6,440.71 and 2,874.72 is: 3,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.53 : 6,440.71 = 2,874.72 : x
  2. Step 2: Convert to fraction form
    4,667.53/6,440.71 = 2,874.72/x
  3. Step 3: Cross multiply
    4,667.53x = 6,440.71 × 2,874.72
  4. Step 4: Simplify right side
    4,667.53x = 18,515,237.85
  5. Step 5: Solve for x
    x = 18,515,237.85/4,667.53
  6. Step 6: Final answer
    x = 3,966.82

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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.