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Finding the Fourth Proportional to 3,717.44, 5,574.84 and 2,674.30

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Solution

The fourth proportional to 3,717.44, 5,574.84 and 2,674.30 is: 4,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.44 : 5,574.84 = 2,674.30 : x
  2. Step 2: Convert to fraction form
    3,717.44/5,574.84 = 2,674.30/x
  3. Step 3: Cross multiply
    3,717.44x = 5,574.84 × 2,674.30
  4. Step 4: Simplify right side
    3,717.44x = 14,908,794.61
  5. Step 5: Solve for x
    x = 14,908,794.61/3,717.44
  6. Step 6: Final answer
    x = 4,010.50

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Why These Related Problems?

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