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Finding the Fourth Proportional to 4,113.71, 6,171.27 and 1,339.59

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Solution

The fourth proportional to 4,113.71, 6,171.27 and 1,339.59 is: 2,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.71 : 6,171.27 = 1,339.59 : x
  2. Step 2: Convert to fraction form
    4,113.71/6,171.27 = 1,339.59/x
  3. Step 3: Cross multiply
    4,113.71x = 6,171.27 × 1,339.59
  4. Step 4: Simplify right side
    4,113.71x = 8,266,971.58
  5. Step 5: Solve for x
    x = 8,266,971.58/4,113.71
  6. Step 6: Final answer
    x = 2,009.61

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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.