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Finding the Fourth Proportional to 5,832.78, 8,749.14 and 1,450.22

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Solution

The fourth proportional to 5,832.78, 8,749.14 and 1,450.22 is: 2,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.78 : 8,749.14 = 1,450.22 : x
  2. Step 2: Convert to fraction form
    5,832.78/8,749.14 = 1,450.22/x
  3. Step 3: Cross multiply
    5,832.78x = 8,749.14 × 1,450.22
  4. Step 4: Simplify right side
    5,832.78x = 12,688,134.07
  5. Step 5: Solve for x
    x = 12,688,134.07/5,832.78
  6. Step 6: Final answer
    x = 2,175.32

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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.