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Finding the Fourth Proportional to 4,129.67, 6,194.32 and 2,281.70

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Solution

The fourth proportional to 4,129.67, 6,194.32 and 2,281.70 is: 3,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.67 : 6,194.32 = 2,281.70 : x
  2. Step 2: Convert to fraction form
    4,129.67/6,194.32 = 2,281.70/x
  3. Step 3: Cross multiply
    4,129.67x = 6,194.32 × 2,281.70
  4. Step 4: Simplify right side
    4,129.67x = 14,133,579.94
  5. Step 5: Solve for x
    x = 14,133,579.94/4,129.67
  6. Step 6: Final answer
    x = 3,422.45

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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.