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Finding the Fourth Proportional to 3,942.54, 5,913.62 and 1,477.18

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Solution

The fourth proportional to 3,942.54, 5,913.62 and 1,477.18 is: 2,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.54 : 5,913.62 = 1,477.18 : x
  2. Step 2: Convert to fraction form
    3,942.54/5,913.62 = 1,477.18/x
  3. Step 3: Cross multiply
    3,942.54x = 5,913.62 × 1,477.18
  4. Step 4: Simplify right side
    3,942.54x = 8,735,481.19
  5. Step 5: Solve for x
    x = 8,735,481.19/3,942.54
  6. Step 6: Final answer
    x = 2,215.70

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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.