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Finding the Fourth Proportional to 3,674.32, 5,510.40 and 2,031.68

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Solution

The fourth proportional to 3,674.32, 5,510.40 and 2,031.68 is: 3,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.32 : 5,510.40 = 2,031.68 : x
  2. Step 2: Convert to fraction form
    3,674.32/5,510.40 = 2,031.68/x
  3. Step 3: Cross multiply
    3,674.32x = 5,510.40 × 2,031.68
  4. Step 4: Simplify right side
    3,674.32x = 11,195,369.47
  5. Step 5: Solve for x
    x = 11,195,369.47/3,674.32
  6. Step 6: Final answer
    x = 3,046.92

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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.