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Finding the Fourth Proportional to 5,313.68, 7,958.93 and 4,849.55

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Solution

The fourth proportional to 5,313.68, 7,958.93 and 4,849.55 is: 7,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.68 : 7,958.93 = 4,849.55 : x
  2. Step 2: Convert to fraction form
    5,313.68/7,958.93 = 4,849.55/x
  3. Step 3: Cross multiply
    5,313.68x = 7,958.93 × 4,849.55
  4. Step 4: Simplify right side
    5,313.68x = 38,597,164.94
  5. Step 5: Solve for x
    x = 38,597,164.94/5,313.68
  6. Step 6: Final answer
    x = 7,263.74

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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.