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Finding the Fourth Proportional to 5,832.12, 8,746.11 and 1,883.22

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Solution

The fourth proportional to 5,832.12, 8,746.11 and 1,883.22 is: 2,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.12 : 8,746.11 = 1,883.22 : x
  2. Step 2: Convert to fraction form
    5,832.12/8,746.11 = 1,883.22/x
  3. Step 3: Cross multiply
    5,832.12x = 8,746.11 × 1,883.22
  4. Step 4: Simplify right side
    5,832.12x = 16,470,849.27
  5. Step 5: Solve for x
    x = 16,470,849.27/5,832.12
  6. Step 6: Final answer
    x = 2,824.16

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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.