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Finding the Fourth Proportional to 4,284.70, 6,429.17 and 2,093.38

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Solution

The fourth proportional to 4,284.70, 6,429.17 and 2,093.38 is: 3,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.70 : 6,429.17 = 2,093.38 : x
  2. Step 2: Convert to fraction form
    4,284.70/6,429.17 = 2,093.38/x
  3. Step 3: Cross multiply
    4,284.70x = 6,429.17 × 2,093.38
  4. Step 4: Simplify right side
    4,284.70x = 13,458,685.06
  5. Step 5: Solve for x
    x = 13,458,685.06/4,284.70
  6. Step 6: Final answer
    x = 3,141.11

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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.