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Finding the Fourth Proportional to 5,754.76, 8,632.20 and 3,156.28

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Solution

The fourth proportional to 5,754.76, 8,632.20 and 3,156.28 is: 4,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.76 : 8,632.20 = 3,156.28 : x
  2. Step 2: Convert to fraction form
    5,754.76/8,632.20 = 3,156.28/x
  3. Step 3: Cross multiply
    5,754.76x = 8,632.20 × 3,156.28
  4. Step 4: Simplify right side
    5,754.76x = 27,245,640.22
  5. Step 5: Solve for x
    x = 27,245,640.22/5,754.76
  6. Step 6: Final answer
    x = 4,734.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.