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Finding the Fourth Proportional to 5,690.14, 8,540.54 and 3,503.14

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Solution

The fourth proportional to 5,690.14, 8,540.54 and 3,503.14 is: 5,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.14 : 8,540.54 = 3,503.14 : x
  2. Step 2: Convert to fraction form
    5,690.14/8,540.54 = 3,503.14/x
  3. Step 3: Cross multiply
    5,690.14x = 8,540.54 × 3,503.14
  4. Step 4: Simplify right side
    5,690.14x = 29,918,707.30
  5. Step 5: Solve for x
    x = 29,918,707.30/5,690.14
  6. Step 6: Final answer
    x = 5,257.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.