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Finding the Fourth Proportional to 5,973.26, 8,243.26 and 3,614.02

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Solution

The fourth proportional to 5,973.26, 8,243.26 and 3,614.02 is: 4,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.26 : 8,243.26 = 3,614.02 : x
  2. Step 2: Convert to fraction form
    5,973.26/8,243.26 = 3,614.02/x
  3. Step 3: Cross multiply
    5,973.26x = 8,243.26 × 3,614.02
  4. Step 4: Simplify right side
    5,973.26x = 29,791,306.51
  5. Step 5: Solve for x
    x = 29,791,306.51/5,973.26
  6. Step 6: Final answer
    x = 4,987.45

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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.