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Finding the Fourth Proportional to 5,780.58, 8,671.77 and 1,884.08

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Solution

The fourth proportional to 5,780.58, 8,671.77 and 1,884.08 is: 2,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.58 : 8,671.77 = 1,884.08 : x
  2. Step 2: Convert to fraction form
    5,780.58/8,671.77 = 1,884.08/x
  3. Step 3: Cross multiply
    5,780.58x = 8,671.77 × 1,884.08
  4. Step 4: Simplify right side
    5,780.58x = 16,338,308.42
  5. Step 5: Solve for x
    x = 16,338,308.42/5,780.58
  6. Step 6: Final answer
    x = 2,826.41

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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.