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Finding the Fourth Proportional to 5,124.60, 7,684.20 and 1,837.80

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Solution

The fourth proportional to 5,124.60, 7,684.20 and 1,837.80 is: 2,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.60 : 7,684.20 = 1,837.80 : x
  2. Step 2: Convert to fraction form
    5,124.60/7,684.20 = 1,837.80/x
  3. Step 3: Cross multiply
    5,124.60x = 7,684.20 × 1,837.80
  4. Step 4: Simplify right side
    5,124.60x = 14,122,022.76
  5. Step 5: Solve for x
    x = 14,122,022.76/5,124.60
  6. Step 6: Final answer
    x = 2,755.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.