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Finding the Fourth Proportional to 5,766, 7,955.28 and 3,527.28

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Solution

The fourth proportional to 5,766, 7,955.28 and 3,527.28 is: 4,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766 : 7,955.28 = 3,527.28 : x
  2. Step 2: Convert to fraction form
    5,766/7,955.28 = 3,527.28/x
  3. Step 3: Cross multiply
    5,766x = 7,955.28 × 3,527.28
  4. Step 4: Simplify right side
    5,766x = 28,060,500.04
  5. Step 5: Solve for x
    x = 28,060,500.04/5,766
  6. Step 6: Final answer
    x = 4,866.55

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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.