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Finding the Fourth Proportional to 4,120.83, 6,182.18 and 1,347.71

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Solution

The fourth proportional to 4,120.83, 6,182.18 and 1,347.71 is: 2,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.83 : 6,182.18 = 1,347.71 : x
  2. Step 2: Convert to fraction form
    4,120.83/6,182.18 = 1,347.71/x
  3. Step 3: Cross multiply
    4,120.83x = 6,182.18 × 1,347.71
  4. Step 4: Simplify right side
    4,120.83x = 8,331,748.16
  5. Step 5: Solve for x
    x = 8,331,748.16/4,120.83
  6. Step 6: Final answer
    x = 2,021.86

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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.