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Finding the Fourth Proportional to 5,105.56, 7,047.83 and 3,116.83

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Solution

The fourth proportional to 5,105.56, 7,047.83 and 3,116.83 is: 4,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.56 : 7,047.83 = 3,116.83 : x
  2. Step 2: Convert to fraction form
    5,105.56/7,047.83 = 3,116.83/x
  3. Step 3: Cross multiply
    5,105.56x = 7,047.83 × 3,116.83
  4. Step 4: Simplify right side
    5,105.56x = 21,966,887.98
  5. Step 5: Solve for x
    x = 21,966,887.98/5,105.56
  6. Step 6: Final answer
    x = 4,302.54

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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.