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Finding the Fourth Proportional to 3,742.03, 5,612.41 and 1,109.48

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Solution

The fourth proportional to 3,742.03, 5,612.41 and 1,109.48 is: 1,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.03 : 5,612.41 = 1,109.48 : x
  2. Step 2: Convert to fraction form
    3,742.03/5,612.41 = 1,109.48/x
  3. Step 3: Cross multiply
    3,742.03x = 5,612.41 × 1,109.48
  4. Step 4: Simplify right side
    3,742.03x = 6,226,856.65
  5. Step 5: Solve for x
    x = 6,226,856.65/3,742.03
  6. Step 6: Final answer
    x = 1,664.03

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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.