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Finding the Fourth Proportional to 3,449.99, 5,175.10 and 1,109.96

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Solution

The fourth proportional to 3,449.99, 5,175.10 and 1,109.96 is: 1,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.99 : 5,175.10 = 1,109.96 : x
  2. Step 2: Convert to fraction form
    3,449.99/5,175.10 = 1,109.96/x
  3. Step 3: Cross multiply
    3,449.99x = 5,175.10 × 1,109.96
  4. Step 4: Simplify right side
    3,449.99x = 5,744,154.11
  5. Step 5: Solve for x
    x = 5,744,154.11/3,449.99
  6. Step 6: Final answer
    x = 1,664.98

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1.5x scale

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.