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Finding the Fourth Proportional to 5,584.92, 8,375.76 and 1,688.28

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Solution

The fourth proportional to 5,584.92, 8,375.76 and 1,688.28 is: 2,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.92 : 8,375.76 = 1,688.28 : x
  2. Step 2: Convert to fraction form
    5,584.92/8,375.76 = 1,688.28/x
  3. Step 3: Cross multiply
    5,584.92x = 8,375.76 × 1,688.28
  4. Step 4: Simplify right side
    5,584.92x = 14,140,628.09
  5. Step 5: Solve for x
    x = 14,140,628.09/5,584.92
  6. Step 6: Final answer
    x = 2,531.93

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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.