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Finding the Fourth Proportional to 5,675.98, 8,513.97 and 1,780.69

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Solution

The fourth proportional to 5,675.98, 8,513.97 and 1,780.69 is: 2,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.98 : 8,513.97 = 1,780.69 : x
  2. Step 2: Convert to fraction form
    5,675.98/8,513.97 = 1,780.69/x
  3. Step 3: Cross multiply
    5,675.98x = 8,513.97 × 1,780.69
  4. Step 4: Simplify right side
    5,675.98x = 15,160,719.95
  5. Step 5: Solve for x
    x = 15,160,719.95/5,675.98
  6. Step 6: Final answer
    x = 2,671.03

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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.