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Finding the Fourth Proportional to 3,527.64, 4,869.13 and 3,474.33

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Solution

The fourth proportional to 3,527.64, 4,869.13 and 3,474.33 is: 4,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.64 : 4,869.13 = 3,474.33 : x
  2. Step 2: Convert to fraction form
    3,527.64/4,869.13 = 3,474.33/x
  3. Step 3: Cross multiply
    3,527.64x = 4,869.13 × 3,474.33
  4. Step 4: Simplify right side
    3,527.64x = 16,916,964.43
  5. Step 5: Solve for x
    x = 16,916,964.43/3,527.64
  6. Step 6: Final answer
    x = 4,795.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.