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Finding the Fourth Proportional to 3,674.16, 5,510.16 and 1,076.76

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Solution

The fourth proportional to 3,674.16, 5,510.16 and 1,076.76 is: 1,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.16 : 5,510.16 = 1,076.76 : x
  2. Step 2: Convert to fraction form
    3,674.16/5,510.16 = 1,076.76/x
  3. Step 3: Cross multiply
    3,674.16x = 5,510.16 × 1,076.76
  4. Step 4: Simplify right side
    3,674.16x = 5,933,119.88
  5. Step 5: Solve for x
    x = 5,933,119.88/3,674.16
  6. Step 6: Final answer
    x = 1,614.82

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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.