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Finding the Fourth Proportional to 5,765.97, 7,957.20 and 3,527.81

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Solution

The fourth proportional to 5,765.97, 7,957.20 and 3,527.81 is: 4,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.97 : 7,957.20 = 3,527.81 : x
  2. Step 2: Convert to fraction form
    5,765.97/7,957.20 = 3,527.81/x
  3. Step 3: Cross multiply
    5,765.97x = 7,957.20 × 3,527.81
  4. Step 4: Simplify right side
    5,765.97x = 28,071,449.95
  5. Step 5: Solve for x
    x = 28,071,449.95/5,765.97
  6. Step 6: Final answer
    x = 4,868.47

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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.