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Finding the Fourth Proportional to 4,307.77, 5,945.97 and 2,538.73

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Solution

The fourth proportional to 4,307.77, 5,945.97 and 2,538.73 is: 3,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.77 : 5,945.97 = 2,538.73 : x
  2. Step 2: Convert to fraction form
    4,307.77/5,945.97 = 2,538.73/x
  3. Step 3: Cross multiply
    4,307.77x = 5,945.97 × 2,538.73
  4. Step 4: Simplify right side
    4,307.77x = 15,095,212.42
  5. Step 5: Solve for x
    x = 15,095,212.42/4,307.77
  6. Step 6: Final answer
    x = 3,504.18

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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.