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Finding the Fourth Proportional to 5,987.14, 8,262.57 and 3,629.14

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Solution

The fourth proportional to 5,987.14, 8,262.57 and 3,629.14 is: 5,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.14 : 8,262.57 = 3,629.14 : x
  2. Step 2: Convert to fraction form
    5,987.14/8,262.57 = 3,629.14/x
  3. Step 3: Cross multiply
    5,987.14x = 8,262.57 × 3,629.14
  4. Step 4: Simplify right side
    5,987.14x = 29,986,023.29
  5. Step 5: Solve for x
    x = 29,986,023.29/5,987.14
  6. Step 6: Final answer
    x = 5,008.41

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1.5x scale

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.