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Finding the Fourth Proportional to 3,537.92, 5,307.22 and 1,346.06

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Solution

The fourth proportional to 3,537.92, 5,307.22 and 1,346.06 is: 2,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.92 : 5,307.22 = 1,346.06 : x
  2. Step 2: Convert to fraction form
    3,537.92/5,307.22 = 1,346.06/x
  3. Step 3: Cross multiply
    3,537.92x = 5,307.22 × 1,346.06
  4. Step 4: Simplify right side
    3,537.92x = 7,143,836.55
  5. Step 5: Solve for x
    x = 7,143,836.55/3,537.92
  6. Step 6: Final answer
    x = 2,019.22

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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.