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Finding the Fourth Proportional to 4,749.54, 7,124.32 and 1,462.61

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Solution

The fourth proportional to 4,749.54, 7,124.32 and 1,462.61 is: 2,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.54 : 7,124.32 = 1,462.61 : x
  2. Step 2: Convert to fraction form
    4,749.54/7,124.32 = 1,462.61/x
  3. Step 3: Cross multiply
    4,749.54x = 7,124.32 × 1,462.61
  4. Step 4: Simplify right side
    4,749.54x = 10,420,121.31
  5. Step 5: Solve for x
    x = 10,420,121.31/4,749.54
  6. Step 6: Final answer
    x = 2,193.92

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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.