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Finding the Fourth Proportional to 3,537.96, 5,307.05 and 1,689.27

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Solution

The fourth proportional to 3,537.96, 5,307.05 and 1,689.27 is: 2,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.96 : 5,307.05 = 1,689.27 : x
  2. Step 2: Convert to fraction form
    3,537.96/5,307.05 = 1,689.27/x
  3. Step 3: Cross multiply
    3,537.96x = 5,307.05 × 1,689.27
  4. Step 4: Simplify right side
    3,537.96x = 8,965,031.91
  5. Step 5: Solve for x
    x = 8,965,031.91/3,537.96
  6. Step 6: Final answer
    x = 2,533.96

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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.