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Finding the Fourth Proportional to 5,780.90, 8,671.86 and 1,620.95

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Solution

The fourth proportional to 5,780.90, 8,671.86 and 1,620.95 is: 2,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.90 : 8,671.86 = 1,620.95 : x
  2. Step 2: Convert to fraction form
    5,780.90/8,671.86 = 1,620.95/x
  3. Step 3: Cross multiply
    5,780.90x = 8,671.86 × 1,620.95
  4. Step 4: Simplify right side
    5,780.90x = 14,056,608.11
  5. Step 5: Solve for x
    x = 14,056,608.11/5,780.90
  6. Step 6: Final answer
    x = 2,431.56

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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.