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Finding the Fourth Proportional to 3,953.57, 5,930.54 and 1,762.31

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Solution

The fourth proportional to 3,953.57, 5,930.54 and 1,762.31 is: 2,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.57 : 5,930.54 = 1,762.31 : x
  2. Step 2: Convert to fraction form
    3,953.57/5,930.54 = 1,762.31/x
  3. Step 3: Cross multiply
    3,953.57x = 5,930.54 × 1,762.31
  4. Step 4: Simplify right side
    3,953.57x = 10,451,411.48
  5. Step 5: Solve for x
    x = 10,451,411.48/3,953.57
  6. Step 6: Final answer
    x = 2,643.54

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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.