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Finding the Fourth Proportional to 5,969.56, 8,235.54 and 4,078.10

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Solution

The fourth proportional to 5,969.56, 8,235.54 and 4,078.10 is: 5,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.56 : 8,235.54 = 4,078.10 : x
  2. Step 2: Convert to fraction form
    5,969.56/8,235.54 = 4,078.10/x
  3. Step 3: Cross multiply
    5,969.56x = 8,235.54 × 4,078.10
  4. Step 4: Simplify right side
    5,969.56x = 33,585,355.67
  5. Step 5: Solve for x
    x = 33,585,355.67/5,969.56
  6. Step 6: Final answer
    x = 5,626.10

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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.