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Finding the Fourth Proportional to 5,983.02, 8,978.64 and 2,087.43

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Solution

The fourth proportional to 5,983.02, 8,978.64 and 2,087.43 is: 3,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.02 : 8,978.64 = 2,087.43 : x
  2. Step 2: Convert to fraction form
    5,983.02/8,978.64 = 2,087.43/x
  3. Step 3: Cross multiply
    5,983.02x = 8,978.64 × 2,087.43
  4. Step 4: Simplify right side
    5,983.02x = 18,742,227.16
  5. Step 5: Solve for x
    x = 18,742,227.16/5,983.02
  6. Step 6: Final answer
    x = 3,132.57

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Why These Related Problems?

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