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Finding the Fourth Proportional to 5,973.81, 8,240.04 and 3,852.06

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Solution

The fourth proportional to 5,973.81, 8,240.04 and 3,852.06 is: 5,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.81 : 8,240.04 = 3,852.06 : x
  2. Step 2: Convert to fraction form
    5,973.81/8,240.04 = 3,852.06/x
  3. Step 3: Cross multiply
    5,973.81x = 8,240.04 × 3,852.06
  4. Step 4: Simplify right side
    5,973.81x = 31,741,128.48
  5. Step 5: Solve for x
    x = 31,741,128.48/5,973.81
  6. Step 6: Final answer
    x = 5,313.38

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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.