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Finding the Fourth Proportional to 4,633.48, 6,945.18 and 2,166.76

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Solution

The fourth proportional to 4,633.48, 6,945.18 and 2,166.76 is: 3,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.48 : 6,945.18 = 2,166.76 : x
  2. Step 2: Convert to fraction form
    4,633.48/6,945.18 = 2,166.76/x
  3. Step 3: Cross multiply
    4,633.48x = 6,945.18 × 2,166.76
  4. Step 4: Simplify right side
    4,633.48x = 15,048,538.22
  5. Step 5: Solve for x
    x = 15,048,538.22/4,633.48
  6. Step 6: Final answer
    x = 3,247.78

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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.