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Finding the Fourth Proportional to 4,749.24, 7,123.38 and 1,671

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Solution

The fourth proportional to 4,749.24, 7,123.38 and 1,671 is: 2,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.24 : 7,123.38 = 1,671 : x
  2. Step 2: Convert to fraction form
    4,749.24/7,123.38 = 1,671/x
  3. Step 3: Cross multiply
    4,749.24x = 7,123.38 × 1,671
  4. Step 4: Simplify right side
    4,749.24x = 11,903,167.98
  5. Step 5: Solve for x
    x = 11,903,167.98/4,749.24
  6. Step 6: Final answer
    x = 2,506.33

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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.