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Finding the Fourth Proportional to 5,458.42, 8,188.24 and 1,949.24

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Solution

The fourth proportional to 5,458.42, 8,188.24 and 1,949.24 is: 2,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.42 : 8,188.24 = 1,949.24 : x
  2. Step 2: Convert to fraction form
    5,458.42/8,188.24 = 1,949.24/x
  3. Step 3: Cross multiply
    5,458.42x = 8,188.24 × 1,949.24
  4. Step 4: Simplify right side
    5,458.42x = 15,960,844.94
  5. Step 5: Solve for x
    x = 15,960,844.94/5,458.42
  6. Step 6: Final answer
    x = 2,924.08

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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.