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Finding the Fourth Proportional to 3,806.64, 5,700.65 and 3,437.28

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Solution

The fourth proportional to 3,806.64, 5,700.65 and 3,437.28 is: 5,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.64 : 5,700.65 = 3,437.28 : x
  2. Step 2: Convert to fraction form
    3,806.64/5,700.65 = 3,437.28/x
  3. Step 3: Cross multiply
    3,806.64x = 5,700.65 × 3,437.28
  4. Step 4: Simplify right side
    3,806.64x = 19,594,713.05
  5. Step 5: Solve for x
    x = 19,594,713.05/3,806.64
  6. Step 6: Final answer
    x = 5,147.51

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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.