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Finding the Fourth Proportional to 6,078.56, 8,388.72 and 3,720

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Solution

The fourth proportional to 6,078.56, 8,388.72 and 3,720 is: 5,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.56 : 8,388.72 = 3,720 : x
  2. Step 2: Convert to fraction form
    6,078.56/8,388.72 = 3,720/x
  3. Step 3: Cross multiply
    6,078.56x = 8,388.72 × 3,720
  4. Step 4: Simplify right side
    6,078.56x = 31,206,038.40
  5. Step 5: Solve for x
    x = 31,206,038.40/6,078.56
  6. Step 6: Final answer
    x = 5,133.79

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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.