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Finding the Fourth Proportional to 5,589.63, 7,713.63 and 3,231.72

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Solution

The fourth proportional to 5,589.63, 7,713.63 and 3,231.72 is: 4,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.63 : 7,713.63 = 3,231.72 : x
  2. Step 2: Convert to fraction form
    5,589.63/7,713.63 = 3,231.72/x
  3. Step 3: Cross multiply
    5,589.63x = 7,713.63 × 3,231.72
  4. Step 4: Simplify right side
    5,589.63x = 24,928,292.34
  5. Step 5: Solve for x
    x = 24,928,292.34/5,589.63
  6. Step 6: Final answer
    x = 4,459.74

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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.