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Finding the Fourth Proportional to 3,784.68, 5,671.23 and 1,592.22

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Solution

The fourth proportional to 3,784.68, 5,671.23 and 1,592.22 is: 2,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.68 : 5,671.23 = 1,592.22 : x
  2. Step 2: Convert to fraction form
    3,784.68/5,671.23 = 1,592.22/x
  3. Step 3: Cross multiply
    3,784.68x = 5,671.23 × 1,592.22
  4. Step 4: Simplify right side
    3,784.68x = 9,029,845.83
  5. Step 5: Solve for x
    x = 9,029,845.83/3,784.68
  6. Step 6: Final answer
    x = 2,385.89

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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.