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Finding the Fourth Proportional to 4,462.52, 6,693.81 and 1,828.17

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Solution

The fourth proportional to 4,462.52, 6,693.81 and 1,828.17 is: 2,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.52 : 6,693.81 = 1,828.17 : x
  2. Step 2: Convert to fraction form
    4,462.52/6,693.81 = 1,828.17/x
  3. Step 3: Cross multiply
    4,462.52x = 6,693.81 × 1,828.17
  4. Step 4: Simplify right side
    4,462.52x = 12,237,422.63
  5. Step 5: Solve for x
    x = 12,237,422.63/4,462.52
  6. Step 6: Final answer
    x = 2,742.27

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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.