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Finding the Fourth Proportional to 5,180.59, 7,772.03 and 1,893.68

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Solution

The fourth proportional to 5,180.59, 7,772.03 and 1,893.68 is: 2,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.59 : 7,772.03 = 1,893.68 : x
  2. Step 2: Convert to fraction form
    5,180.59/7,772.03 = 1,893.68/x
  3. Step 3: Cross multiply
    5,180.59x = 7,772.03 × 1,893.68
  4. Step 4: Simplify right side
    5,180.59x = 14,717,737.77
  5. Step 5: Solve for x
    x = 14,717,737.77/5,180.59
  6. Step 6: Final answer
    x = 2,840.94

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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.