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Finding the Fourth Proportional to 3,471.64, 5,209.62 and 1,525.48

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Solution

The fourth proportional to 3,471.64, 5,209.62 and 1,525.48 is: 2,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.64 : 5,209.62 = 1,525.48 : x
  2. Step 2: Convert to fraction form
    3,471.64/5,209.62 = 1,525.48/x
  3. Step 3: Cross multiply
    3,471.64x = 5,209.62 × 1,525.48
  4. Step 4: Simplify right side
    3,471.64x = 7,947,171.12
  5. Step 5: Solve for x
    x = 7,947,171.12/3,471.64
  6. Step 6: Final answer
    x = 2,289.17

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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.