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Finding the Fourth Proportional to 3,473, 5,209.12 and 1,624.47

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Solution

The fourth proportional to 3,473, 5,209.12 and 1,624.47 is: 2,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473 : 5,209.12 = 1,624.47 : x
  2. Step 2: Convert to fraction form
    3,473/5,209.12 = 1,624.47/x
  3. Step 3: Cross multiply
    3,473x = 5,209.12 × 1,624.47
  4. Step 4: Simplify right side
    3,473x = 8,462,059.17
  5. Step 5: Solve for x
    x = 8,462,059.17/3,473
  6. Step 6: Final answer
    x = 2,436.53

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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.