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Finding the Fourth Proportional to 5,723.94, 7,894.95 and 5,253.36

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Solution

The fourth proportional to 5,723.94, 7,894.95 and 5,253.36 is: 7,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.94 : 7,894.95 = 5,253.36 : x
  2. Step 2: Convert to fraction form
    5,723.94/7,894.95 = 5,253.36/x
  3. Step 3: Cross multiply
    5,723.94x = 7,894.95 × 5,253.36
  4. Step 4: Simplify right side
    5,723.94x = 41,474,975.06
  5. Step 5: Solve for x
    x = 41,474,975.06/5,723.94
  6. Step 6: Final answer
    x = 7,245.88

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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.