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Finding the Fourth Proportional to 4,727.54, 7,091.18 and 1,440.50

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Solution

The fourth proportional to 4,727.54, 7,091.18 and 1,440.50 is: 2,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.54 : 7,091.18 = 1,440.50 : x
  2. Step 2: Convert to fraction form
    4,727.54/7,091.18 = 1,440.50/x
  3. Step 3: Cross multiply
    4,727.54x = 7,091.18 × 1,440.50
  4. Step 4: Simplify right side
    4,727.54x = 10,214,844.79
  5. Step 5: Solve for x
    x = 10,214,844.79/4,727.54
  6. Step 6: Final answer
    x = 2,160.71

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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.