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Finding the Fourth Proportional to 3,535.16, 5,310.12 and 3,412.34

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Solution

The fourth proportional to 3,535.16, 5,310.12 and 3,412.34 is: 5,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.16 : 5,310.12 = 3,412.34 : x
  2. Step 2: Convert to fraction form
    3,535.16/5,310.12 = 3,412.34/x
  3. Step 3: Cross multiply
    3,535.16x = 5,310.12 × 3,412.34
  4. Step 4: Simplify right side
    3,535.16x = 18,119,934.88
  5. Step 5: Solve for x
    x = 18,119,934.88/3,535.16
  6. Step 6: Final answer
    x = 5,125.63

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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.