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Finding the Fourth Proportional to 4,749.64, 7,124.54 and 1,633.23

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Solution

The fourth proportional to 4,749.64, 7,124.54 and 1,633.23 is: 2,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.64 : 7,124.54 = 1,633.23 : x
  2. Step 2: Convert to fraction form
    4,749.64/7,124.54 = 1,633.23/x
  3. Step 3: Cross multiply
    4,749.64x = 7,124.54 × 1,633.23
  4. Step 4: Simplify right side
    4,749.64x = 11,636,004.30
  5. Step 5: Solve for x
    x = 11,636,004.30/4,749.64
  6. Step 6: Final answer
    x = 2,449.87

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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.