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Finding the Fourth Proportional to 4,125.87, 6,188.81 and 1,818.99

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Solution

The fourth proportional to 4,125.87, 6,188.81 and 1,818.99 is: 2,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.87 : 6,188.81 = 1,818.99 : x
  2. Step 2: Convert to fraction form
    4,125.87/6,188.81 = 1,818.99/x
  3. Step 3: Cross multiply
    4,125.87x = 6,188.81 × 1,818.99
  4. Step 4: Simplify right side
    4,125.87x = 11,257,374.41
  5. Step 5: Solve for x
    x = 11,257,374.41/4,125.87
  6. Step 6: Final answer
    x = 2,728.49

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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.