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Finding the Fourth Proportional to 3,537.99, 5,307.67 and 1,346.55

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Solution

The fourth proportional to 3,537.99, 5,307.67 and 1,346.55 is: 2,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.99 : 5,307.67 = 1,346.55 : x
  2. Step 2: Convert to fraction form
    3,537.99/5,307.67 = 1,346.55/x
  3. Step 3: Cross multiply
    3,537.99x = 5,307.67 × 1,346.55
  4. Step 4: Simplify right side
    3,537.99x = 7,147,043.04
  5. Step 5: Solve for x
    x = 7,147,043.04/3,537.99
  6. Step 6: Final answer
    x = 2,020.09

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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.