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Finding the Fourth Proportional to 3,536.34, 5,302.59 and 1,687.87

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Solution

The fourth proportional to 3,536.34, 5,302.59 and 1,687.87 is: 2,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.34 : 5,302.59 = 1,687.87 : x
  2. Step 2: Convert to fraction form
    3,536.34/5,302.59 = 1,687.87/x
  3. Step 3: Cross multiply
    3,536.34x = 5,302.59 × 1,687.87
  4. Step 4: Simplify right side
    3,536.34x = 8,950,082.58
  5. Step 5: Solve for x
    x = 8,950,082.58/3,536.34
  6. Step 6: Final answer
    x = 2,530.89

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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.