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Finding the Fourth Proportional to 4,633.11, 6,949.31 and 1,856.43

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Solution

The fourth proportional to 4,633.11, 6,949.31 and 1,856.43 is: 2,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.11 : 6,949.31 = 1,856.43 : x
  2. Step 2: Convert to fraction form
    4,633.11/6,949.31 = 1,856.43/x
  3. Step 3: Cross multiply
    4,633.11x = 6,949.31 × 1,856.43
  4. Step 4: Simplify right side
    4,633.11x = 12,900,898.28
  5. Step 5: Solve for x
    x = 12,900,898.28/4,633.11
  6. Step 6: Final answer
    x = 2,784.50

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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.