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Finding the Fourth Proportional to 5,771.48, 8,655.98 and 1,823.05

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Solution

The fourth proportional to 5,771.48, 8,655.98 and 1,823.05 is: 2,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.48 : 8,655.98 = 1,823.05 : x
  2. Step 2: Convert to fraction form
    5,771.48/8,655.98 = 1,823.05/x
  3. Step 3: Cross multiply
    5,771.48x = 8,655.98 × 1,823.05
  4. Step 4: Simplify right side
    5,771.48x = 15,780,236.50
  5. Step 5: Solve for x
    x = 15,780,236.50/5,771.48
  6. Step 6: Final answer
    x = 2,734.18

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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.