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Finding the Fourth Proportional to 4,381.64, 6,574.01 and 2,736.29

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Solution

The fourth proportional to 4,381.64, 6,574.01 and 2,736.29 is: 4,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.64 : 6,574.01 = 2,736.29 : x
  2. Step 2: Convert to fraction form
    4,381.64/6,574.01 = 2,736.29/x
  3. Step 3: Cross multiply
    4,381.64x = 6,574.01 × 2,736.29
  4. Step 4: Simplify right side
    4,381.64x = 17,988,351.27
  5. Step 5: Solve for x
    x = 17,988,351.27/4,381.64
  6. Step 6: Final answer
    x = 4,105.40

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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.