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Finding the Fourth Proportional to 4,124.62, 6,188.55 and 1,814.50

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Solution

The fourth proportional to 4,124.62, 6,188.55 and 1,814.50 is: 2,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.62 : 6,188.55 = 1,814.50 : x
  2. Step 2: Convert to fraction form
    4,124.62/6,188.55 = 1,814.50/x
  3. Step 3: Cross multiply
    4,124.62x = 6,188.55 × 1,814.50
  4. Step 4: Simplify right side
    4,124.62x = 11,229,123.98
  5. Step 5: Solve for x
    x = 11,229,123.98/4,124.62
  6. Step 6: Final answer
    x = 2,722.46

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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.