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Finding the Fourth Proportional to 3,537.55, 5,307.72 and 1,072.63

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Solution

The fourth proportional to 3,537.55, 5,307.72 and 1,072.63 is: 1,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.55 : 5,307.72 = 1,072.63 : x
  2. Step 2: Convert to fraction form
    3,537.55/5,307.72 = 1,072.63/x
  3. Step 3: Cross multiply
    3,537.55x = 5,307.72 × 1,072.63
  4. Step 4: Simplify right side
    3,537.55x = 5,693,219.70
  5. Step 5: Solve for x
    x = 5,693,219.70/3,537.55
  6. Step 6: Final answer
    x = 1,609.37

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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.