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Finding the Fourth Proportional to 5,765.23, 7,951.76 and 3,973.28

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Solution

The fourth proportional to 5,765.23, 7,951.76 and 3,973.28 is: 5,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.23 : 7,951.76 = 3,973.28 : x
  2. Step 2: Convert to fraction form
    5,765.23/7,951.76 = 3,973.28/x
  3. Step 3: Cross multiply
    5,765.23x = 7,951.76 × 3,973.28
  4. Step 4: Simplify right side
    5,765.23x = 31,594,583.89
  5. Step 5: Solve for x
    x = 31,594,583.89/5,765.23
  6. Step 6: Final answer
    x = 5,480.20

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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.