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Finding the Fourth Proportional to 5,120.85, 7,674.06 and 4,076.21

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Solution

The fourth proportional to 5,120.85, 7,674.06 and 4,076.21 is: 6,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.85 : 7,674.06 = 4,076.21 : x
  2. Step 2: Convert to fraction form
    5,120.85/7,674.06 = 4,076.21/x
  3. Step 3: Cross multiply
    5,120.85x = 7,674.06 × 4,076.21
  4. Step 4: Simplify right side
    5,120.85x = 31,281,041.74
  5. Step 5: Solve for x
    x = 31,281,041.74/5,120.85
  6. Step 6: Final answer
    x = 6,108.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.