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Finding the Fourth Proportional to 5,605.55, 7,738.45 and 4,343.75

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Solution

The fourth proportional to 5,605.55, 7,738.45 and 4,343.75 is: 5,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.55 : 7,738.45 = 4,343.75 : x
  2. Step 2: Convert to fraction form
    5,605.55/7,738.45 = 4,343.75/x
  3. Step 3: Cross multiply
    5,605.55x = 7,738.45 × 4,343.75
  4. Step 4: Simplify right side
    5,605.55x = 33,613,892.19
  5. Step 5: Solve for x
    x = 33,613,892.19/5,605.55
  6. Step 6: Final answer
    x = 5,996.54

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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.