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Finding the Fourth Proportional to 3,527.28, 5,310.36 and 3,051

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Solution

The fourth proportional to 3,527.28, 5,310.36 and 3,051 is: 4,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.28 : 5,310.36 = 3,051 : x
  2. Step 2: Convert to fraction form
    3,527.28/5,310.36 = 3,051/x
  3. Step 3: Cross multiply
    3,527.28x = 5,310.36 × 3,051
  4. Step 4: Simplify right side
    3,527.28x = 16,201,908.36
  5. Step 5: Solve for x
    x = 16,201,908.36/3,527.28
  6. Step 6: Final answer
    x = 4,593.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.