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Finding the Fourth Proportional to 5,971.48, 8,957.40 and 2,851.82

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Solution

The fourth proportional to 5,971.48, 8,957.40 and 2,851.82 is: 4,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.48 : 8,957.40 = 2,851.82 : x
  2. Step 2: Convert to fraction form
    5,971.48/8,957.40 = 2,851.82/x
  3. Step 3: Cross multiply
    5,971.48x = 8,957.40 × 2,851.82
  4. Step 4: Simplify right side
    5,971.48x = 25,544,847.68
  5. Step 5: Solve for x
    x = 25,544,847.68/5,971.48
  6. Step 6: Final answer
    x = 4,277.81

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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.