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Finding the Fourth Proportional to 3,954.96, 5,449.95 and 3,697.92

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Solution

The fourth proportional to 3,954.96, 5,449.95 and 3,697.92 is: 5,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.96 : 5,449.95 = 3,697.92 : x
  2. Step 2: Convert to fraction form
    3,954.96/5,449.95 = 3,697.92/x
  3. Step 3: Cross multiply
    3,954.96x = 5,449.95 × 3,697.92
  4. Step 4: Simplify right side
    3,954.96x = 20,153,479.10
  5. Step 5: Solve for x
    x = 20,153,479.10/3,954.96
  6. Step 6: Final answer
    x = 5,095.75

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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.