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Finding the Fourth Proportional to 3,913.74, 5,400.84 and 2,145.31

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Solution

The fourth proportional to 3,913.74, 5,400.84 and 2,145.31 is: 2,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.74 : 5,400.84 = 2,145.31 : x
  2. Step 2: Convert to fraction form
    3,913.74/5,400.84 = 2,145.31/x
  3. Step 3: Cross multiply
    3,913.74x = 5,400.84 × 2,145.31
  4. Step 4: Simplify right side
    3,913.74x = 11,586,470.60
  5. Step 5: Solve for x
    x = 11,586,470.60/3,913.74
  6. Step 6: Final answer
    x = 2,960.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.