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Finding the Fourth Proportional to 4,096.56, 5,639.04 and 3,100.08

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Solution

The fourth proportional to 4,096.56, 5,639.04 and 3,100.08 is: 4,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.56 : 5,639.04 = 3,100.08 : x
  2. Step 2: Convert to fraction form
    4,096.56/5,639.04 = 3,100.08/x
  3. Step 3: Cross multiply
    4,096.56x = 5,639.04 × 3,100.08
  4. Step 4: Simplify right side
    4,096.56x = 17,481,475.12
  5. Step 5: Solve for x
    x = 17,481,475.12/4,096.56
  6. Step 6: Final answer
    x = 4,267.35

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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.