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Finding the Fourth Proportional to 5,771.54, 8,656.07 and 1,823.11

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Solution

The fourth proportional to 5,771.54, 8,656.07 and 1,823.11 is: 2,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.54 : 8,656.07 = 1,823.11 : x
  2. Step 2: Convert to fraction form
    5,771.54/8,656.07 = 1,823.11/x
  3. Step 3: Cross multiply
    5,771.54x = 8,656.07 × 1,823.11
  4. Step 4: Simplify right side
    5,771.54x = 15,780,937.02
  5. Step 5: Solve for x
    x = 15,780,937.02/5,771.54
  6. Step 6: Final answer
    x = 2,734.27

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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.