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Finding the Fourth Proportional to 5,987.05, 8,262.92 and 4,314

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Solution

The fourth proportional to 5,987.05, 8,262.92 and 4,314 is: 5,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.05 : 8,262.92 = 4,314 : x
  2. Step 2: Convert to fraction form
    5,987.05/8,262.92 = 4,314/x
  3. Step 3: Cross multiply
    5,987.05x = 8,262.92 × 4,314
  4. Step 4: Simplify right side
    5,987.05x = 35,646,236.88
  5. Step 5: Solve for x
    x = 35,646,236.88/5,987.05
  6. Step 6: Final answer
    x = 5,953.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.