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Finding the Fourth Proportional to 3,538.21, 5,307.29 and 905.71

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Solution

The fourth proportional to 3,538.21, 5,307.29 and 905.71 is: 1,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.21 : 5,307.29 = 905.71 : x
  2. Step 2: Convert to fraction form
    3,538.21/5,307.29 = 905.71/x
  3. Step 3: Cross multiply
    3,538.21x = 5,307.29 × 905.71
  4. Step 4: Simplify right side
    3,538.21x = 4,806,839.09
  5. Step 5: Solve for x
    x = 4,806,839.09/3,538.21
  6. Step 6: Final answer
    x = 1,358.55

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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.