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Finding the Fourth Proportional to 5,983.20, 8,960.52 and 4,742.40

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Solution

The fourth proportional to 5,983.20, 8,960.52 and 4,742.40 is: 7,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.20 : 8,960.52 = 4,742.40 : x
  2. Step 2: Convert to fraction form
    5,983.20/8,960.52 = 4,742.40/x
  3. Step 3: Cross multiply
    5,983.20x = 8,960.52 × 4,742.40
  4. Step 4: Simplify right side
    5,983.20x = 42,494,370.05
  5. Step 5: Solve for x
    x = 42,494,370.05/5,983.20
  6. Step 6: Final answer
    x = 7,102.28

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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.