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Finding the Fourth Proportional to 4,201.83, 6,304.14 and 1,861.52

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Solution

The fourth proportional to 4,201.83, 6,304.14 and 1,861.52 is: 2,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.83 : 6,304.14 = 1,861.52 : x
  2. Step 2: Convert to fraction form
    4,201.83/6,304.14 = 1,861.52/x
  3. Step 3: Cross multiply
    4,201.83x = 6,304.14 × 1,861.52
  4. Step 4: Simplify right side
    4,201.83x = 11,735,251.17
  5. Step 5: Solve for x
    x = 11,735,251.17/4,201.83
  6. Step 6: Final answer
    x = 2,792.89

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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.