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Finding the Fourth Proportional to 5,338.68, 7,343.94 and 4,341.78

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Solution

The fourth proportional to 5,338.68, 7,343.94 and 4,341.78 is: 5,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.68 : 7,343.94 = 4,341.78 : x
  2. Step 2: Convert to fraction form
    5,338.68/7,343.94 = 4,341.78/x
  3. Step 3: Cross multiply
    5,338.68x = 7,343.94 × 4,341.78
  4. Step 4: Simplify right side
    5,338.68x = 31,885,771.81
  5. Step 5: Solve for x
    x = 31,885,771.81/5,338.68
  6. Step 6: Final answer
    x = 5,972.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.