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Finding the Fourth Proportional to 5,881.98, 8,822.16 and 2,183.64

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Solution

The fourth proportional to 5,881.98, 8,822.16 and 2,183.64 is: 3,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.98 : 8,822.16 = 2,183.64 : x
  2. Step 2: Convert to fraction form
    5,881.98/8,822.16 = 2,183.64/x
  3. Step 3: Cross multiply
    5,881.98x = 8,822.16 × 2,183.64
  4. Step 4: Simplify right side
    5,881.98x = 19,264,421.46
  5. Step 5: Solve for x
    x = 19,264,421.46/5,881.98
  6. Step 6: Final answer
    x = 3,275.16

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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.