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Finding the Fourth Proportional to 5,830.28, 8,047.22 and 4,501.96

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Solution

The fourth proportional to 5,830.28, 8,047.22 and 4,501.96 is: 6,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.28 : 8,047.22 = 4,501.96 : x
  2. Step 2: Convert to fraction form
    5,830.28/8,047.22 = 4,501.96/x
  3. Step 3: Cross multiply
    5,830.28x = 8,047.22 × 4,501.96
  4. Step 4: Simplify right side
    5,830.28x = 36,228,262.55
  5. Step 5: Solve for x
    x = 36,228,262.55/5,830.28
  6. Step 6: Final answer
    x = 6,213.81

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