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Finding the Fourth Proportional to 5,822.53, 8,728.29 and 1,924.81

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Solution

The fourth proportional to 5,822.53, 8,728.29 and 1,924.81 is: 2,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.53 : 8,728.29 = 1,924.81 : x
  2. Step 2: Convert to fraction form
    5,822.53/8,728.29 = 1,924.81/x
  3. Step 3: Cross multiply
    5,822.53x = 8,728.29 × 1,924.81
  4. Step 4: Simplify right side
    5,822.53x = 16,800,299.87
  5. Step 5: Solve for x
    x = 16,800,299.87/5,822.53
  6. Step 6: Final answer
    x = 2,885.40

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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.