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Finding the Fourth Proportional to 4,559.34, 6,839.01 and 3,520.86

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Solution

The fourth proportional to 4,559.34, 6,839.01 and 3,520.86 is: 5,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.34 : 6,839.01 = 3,520.86 : x
  2. Step 2: Convert to fraction form
    4,559.34/6,839.01 = 3,520.86/x
  3. Step 3: Cross multiply
    4,559.34x = 6,839.01 × 3,520.86
  4. Step 4: Simplify right side
    4,559.34x = 24,079,186.13
  5. Step 5: Solve for x
    x = 24,079,186.13/4,559.34
  6. Step 6: Final answer
    x = 5,281.29

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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.