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Finding the Fourth Proportional to 5,105.46, 7,047.30 and 3,220.20

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Solution

The fourth proportional to 5,105.46, 7,047.30 and 3,220.20 is: 4,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.46 : 7,047.30 = 3,220.20 : x
  2. Step 2: Convert to fraction form
    5,105.46/7,047.30 = 3,220.20/x
  3. Step 3: Cross multiply
    5,105.46x = 7,047.30 × 3,220.20
  4. Step 4: Simplify right side
    5,105.46x = 22,693,715.46
  5. Step 5: Solve for x
    x = 22,693,715.46/5,105.46
  6. Step 6: Final answer
    x = 4,444.99

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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.