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Finding the Fourth Proportional to 4,338.38, 6,501.90 and 1,743.14

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Solution

The fourth proportional to 4,338.38, 6,501.90 and 1,743.14 is: 2,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.38 : 6,501.90 = 1,743.14 : x
  2. Step 2: Convert to fraction form
    4,338.38/6,501.90 = 1,743.14/x
  3. Step 3: Cross multiply
    4,338.38x = 6,501.90 × 1,743.14
  4. Step 4: Simplify right side
    4,338.38x = 11,333,738.22
  5. Step 5: Solve for x
    x = 11,333,738.22/4,338.38
  6. Step 6: Final answer
    x = 2,612.43

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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.