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Finding the Fourth Proportional to 2,572.12, 3,858.90 and 2,184.85

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Solution

The fourth proportional to 2,572.12, 3,858.90 and 2,184.85 is: 3,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.12 : 3,858.90 = 2,184.85 : x
  2. Step 2: Convert to fraction form
    2,572.12/3,858.90 = 2,184.85/x
  3. Step 3: Cross multiply
    2,572.12x = 3,858.90 × 2,184.85
  4. Step 4: Simplify right side
    2,572.12x = 8,431,117.67
  5. Step 5: Solve for x
    x = 8,431,117.67/2,572.12
  6. Step 6: Final answer
    x = 3,277.89

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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.