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Finding the Fourth Proportional to 3,188.58, 4,775.85 and 2,570.82

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Solution

The fourth proportional to 3,188.58, 4,775.85 and 2,570.82 is: 3,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.58 : 4,775.85 = 2,570.82 : x
  2. Step 2: Convert to fraction form
    3,188.58/4,775.85 = 2,570.82/x
  3. Step 3: Cross multiply
    3,188.58x = 4,775.85 × 2,570.82
  4. Step 4: Simplify right side
    3,188.58x = 12,277,850.70
  5. Step 5: Solve for x
    x = 12,277,850.70/3,188.58
  6. Step 6: Final answer
    x = 3,850.57

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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.