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Finding the Fourth Proportional to 3,751.96, 5,626.86 and 1,154.20

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Solution

The fourth proportional to 3,751.96, 5,626.86 and 1,154.20 is: 1,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.96 : 5,626.86 = 1,154.20 : x
  2. Step 2: Convert to fraction form
    3,751.96/5,626.86 = 1,154.20/x
  3. Step 3: Cross multiply
    3,751.96x = 5,626.86 × 1,154.20
  4. Step 4: Simplify right side
    3,751.96x = 6,494,521.81
  5. Step 5: Solve for x
    x = 6,494,521.81/3,751.96
  6. Step 6: Final answer
    x = 1,730.97

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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.