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Finding the Fourth Proportional to 5,891.84, 8,143.74 and 5,178.33

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Solution

The fourth proportional to 5,891.84, 8,143.74 and 5,178.33 is: 7,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.84 : 8,143.74 = 5,178.33 : x
  2. Step 2: Convert to fraction form
    5,891.84/8,143.74 = 5,178.33/x
  3. Step 3: Cross multiply
    5,891.84x = 8,143.74 × 5,178.33
  4. Step 4: Simplify right side
    5,891.84x = 42,170,973.15
  5. Step 5: Solve for x
    x = 42,170,973.15/5,891.84
  6. Step 6: Final answer
    x = 7,157.52

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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.