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Finding the Fourth Proportional to 5,157.56, 7,744.23 and 4,546.41

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Solution

The fourth proportional to 5,157.56, 7,744.23 and 4,546.41 is: 6,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.56 : 7,744.23 = 4,546.41 : x
  2. Step 2: Convert to fraction form
    5,157.56/7,744.23 = 4,546.41/x
  3. Step 3: Cross multiply
    5,157.56x = 7,744.23 × 4,546.41
  4. Step 4: Simplify right side
    5,157.56x = 35,208,444.71
  5. Step 5: Solve for x
    x = 35,208,444.71/5,157.56
  6. Step 6: Final answer
    x = 6,826.58

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1.5x scale

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.