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Finding the Fourth Proportional to 3,717.76, 5,123.20 and 2,667.84

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Solution

The fourth proportional to 3,717.76, 5,123.20 and 2,667.84 is: 3,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.76 : 5,123.20 = 2,667.84 : x
  2. Step 2: Convert to fraction form
    3,717.76/5,123.20 = 2,667.84/x
  3. Step 3: Cross multiply
    3,717.76x = 5,123.20 × 2,667.84
  4. Step 4: Simplify right side
    3,717.76x = 13,667,877.89
  5. Step 5: Solve for x
    x = 13,667,877.89/3,717.76
  6. Step 6: Final answer
    x = 3,676.37

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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.