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Finding the Fourth Proportional to 3,514.62, 5,274.39 and 2,592.57

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Solution

The fourth proportional to 3,514.62, 5,274.39 and 2,592.57 is: 3,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.62 : 5,274.39 = 2,592.57 : x
  2. Step 2: Convert to fraction form
    3,514.62/5,274.39 = 2,592.57/x
  3. Step 3: Cross multiply
    3,514.62x = 5,274.39 × 2,592.57
  4. Step 4: Simplify right side
    3,514.62x = 13,674,225.28
  5. Step 5: Solve for x
    x = 13,674,225.28/3,514.62
  6. Step 6: Final answer
    x = 3,890.67

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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.