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Finding the Fourth Proportional to 4,966.57, 7,449.86 and 1,268.67

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Solution

The fourth proportional to 4,966.57, 7,449.86 and 1,268.67 is: 1,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.57 : 7,449.86 = 1,268.67 : x
  2. Step 2: Convert to fraction form
    4,966.57/7,449.86 = 1,268.67/x
  3. Step 3: Cross multiply
    4,966.57x = 7,449.86 × 1,268.67
  4. Step 4: Simplify right side
    4,966.57x = 9,451,413.89
  5. Step 5: Solve for x
    x = 9,451,413.89/4,966.57
  6. Step 6: Final answer
    x = 1,903.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.