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Finding the Fourth Proportional to 4,156.86, 5,744.07 and 3,954.38

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Solution

The fourth proportional to 4,156.86, 5,744.07 and 3,954.38 is: 5,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.86 : 5,744.07 = 3,954.38 : x
  2. Step 2: Convert to fraction form
    4,156.86/5,744.07 = 3,954.38/x
  3. Step 3: Cross multiply
    4,156.86x = 5,744.07 × 3,954.38
  4. Step 4: Simplify right side
    4,156.86x = 22,714,235.53
  5. Step 5: Solve for x
    x = 22,714,235.53/4,156.86
  6. Step 6: Final answer
    x = 5,464.28

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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.