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Finding the Fourth Proportional to 4,561.92, 6,838.68 and 1,639.50

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Solution

The fourth proportional to 4,561.92, 6,838.68 and 1,639.50 is: 2,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.92 : 6,838.68 = 1,639.50 : x
  2. Step 2: Convert to fraction form
    4,561.92/6,838.68 = 1,639.50/x
  3. Step 3: Cross multiply
    4,561.92x = 6,838.68 × 1,639.50
  4. Step 4: Simplify right side
    4,561.92x = 11,212,015.86
  5. Step 5: Solve for x
    x = 11,212,015.86/4,561.92
  6. Step 6: Final answer
    x = 2,457.74

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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.