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Finding the Fourth Proportional to 5,814.56, 8,733.02 and 4,983.50

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Solution

The fourth proportional to 5,814.56, 8,733.02 and 4,983.50 is: 7,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.56 : 8,733.02 = 4,983.50 : x
  2. Step 2: Convert to fraction form
    5,814.56/8,733.02 = 4,983.50/x
  3. Step 3: Cross multiply
    5,814.56x = 8,733.02 × 4,983.50
  4. Step 4: Simplify right side
    5,814.56x = 43,520,973.96
  5. Step 5: Solve for x
    x = 43,520,973.96/5,814.56
  6. Step 6: Final answer
    x = 7,484.83

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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.