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Finding the Fourth Proportional to 5,890.56, 8,129.84 and 4,004.88

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Solution

The fourth proportional to 5,890.56, 8,129.84 and 4,004.88 is: 5,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.56 : 8,129.84 = 4,004.88 : x
  2. Step 2: Convert to fraction form
    5,890.56/8,129.84 = 4,004.88/x
  3. Step 3: Cross multiply
    5,890.56x = 8,129.84 × 4,004.88
  4. Step 4: Simplify right side
    5,890.56x = 32,559,033.62
  5. Step 5: Solve for x
    x = 32,559,033.62/5,890.56
  6. Step 6: Final answer
    x = 5,527.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.