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Finding the Fourth Proportional to 3,527.73, 4,868.29 and 2,035.71

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Solution

The fourth proportional to 3,527.73, 4,868.29 and 2,035.71 is: 2,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.73 : 4,868.29 = 2,035.71 : x
  2. Step 2: Convert to fraction form
    3,527.73/4,868.29 = 2,035.71/x
  3. Step 3: Cross multiply
    3,527.73x = 4,868.29 × 2,035.71
  4. Step 4: Simplify right side
    3,527.73x = 9,910,421.55
  5. Step 5: Solve for x
    x = 9,910,421.55/3,527.73
  6. Step 6: Final answer
    x = 2,809.29

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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.