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Finding the Fourth Proportional to 3,626.81, 5,436 and 1,674.95

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Solution

The fourth proportional to 3,626.81, 5,436 and 1,674.95 is: 2,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.81 : 5,436 = 1,674.95 : x
  2. Step 2: Convert to fraction form
    3,626.81/5,436 = 1,674.95/x
  3. Step 3: Cross multiply
    3,626.81x = 5,436 × 1,674.95
  4. Step 4: Simplify right side
    3,626.81x = 9,105,001.02
  5. Step 5: Solve for x
    x = 9,105,001.02/3,626.81
  6. Step 6: Final answer
    x = 2,510.47

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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.