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Finding the Fourth Proportional to 5,213.34, 7,824.39 and 4,884.93

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Solution

The fourth proportional to 5,213.34, 7,824.39 and 4,884.93 is: 7,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.34 : 7,824.39 = 4,884.93 : x
  2. Step 2: Convert to fraction form
    5,213.34/7,824.39 = 4,884.93/x
  3. Step 3: Cross multiply
    5,213.34x = 7,824.39 × 4,884.93
  4. Step 4: Simplify right side
    5,213.34x = 38,221,597.44
  5. Step 5: Solve for x
    x = 38,221,597.44/5,213.34
  6. Step 6: Final answer
    x = 7,331.50

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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.