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Finding the Fourth Proportional to 5,697.34, 8,541.84 and 3,843.84

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Solution

The fourth proportional to 5,697.34, 8,541.84 and 3,843.84 is: 5,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.34 : 8,541.84 = 3,843.84 : x
  2. Step 2: Convert to fraction form
    5,697.34/8,541.84 = 3,843.84/x
  3. Step 3: Cross multiply
    5,697.34x = 8,541.84 × 3,843.84
  4. Step 4: Simplify right side
    5,697.34x = 32,833,466.27
  5. Step 5: Solve for x
    x = 32,833,466.27/5,697.34
  6. Step 6: Final answer
    x = 5,762.95

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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.