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Finding the Fourth Proportional to 4,142.76, 6,216.14 and 1,833.96

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Solution

The fourth proportional to 4,142.76, 6,216.14 and 1,833.96 is: 2,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.76 : 6,216.14 = 1,833.96 : x
  2. Step 2: Convert to fraction form
    4,142.76/6,216.14 = 1,833.96/x
  3. Step 3: Cross multiply
    4,142.76x = 6,216.14 × 1,833.96
  4. Step 4: Simplify right side
    4,142.76x = 11,400,152.11
  5. Step 5: Solve for x
    x = 11,400,152.11/4,142.76
  6. Step 6: Final answer
    x = 2,751.83

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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.