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Finding the Fourth Proportional to 4,211.67, 6,317.48 and 3,288

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Solution

The fourth proportional to 4,211.67, 6,317.48 and 3,288 is: 4,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.67 : 6,317.48 = 3,288 : x
  2. Step 2: Convert to fraction form
    4,211.67/6,317.48 = 3,288/x
  3. Step 3: Cross multiply
    4,211.67x = 6,317.48 × 3,288
  4. Step 4: Simplify right side
    4,211.67x = 20,771,857.80
  5. Step 5: Solve for x
    x = 20,771,857.80/4,211.67
  6. Step 6: Final answer
    x = 4,931.98

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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.