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Finding the Fourth Proportional to 5,099.68, 7,650.32 and 2,178

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Solution

The fourth proportional to 5,099.68, 7,650.32 and 2,178 is: 3,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.68 : 7,650.32 = 2,178 : x
  2. Step 2: Convert to fraction form
    5,099.68/7,650.32 = 2,178/x
  3. Step 3: Cross multiply
    5,099.68x = 7,650.32 × 2,178
  4. Step 4: Simplify right side
    5,099.68x = 16,662,396.96
  5. Step 5: Solve for x
    x = 16,662,396.96/5,099.68
  6. Step 6: Final answer
    x = 3,267.34

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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.